Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds

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Publisher : World Scientific
ISBN 13 : 9789971508005
Total Pages : 296 pages
Book Rating : 4.5/5 (8 download)

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Book Synopsis Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds by : Ngaiming Mok

Download or read book Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds written by Ngaiming Mok and published by World Scientific. This book was released on 1989 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact types in terms of curvature conditions. The proofs of these metric rigidity theorems are applied to the study of holomorphic mappings between manifolds X of the same type. Moreover, a dual version of the generalized Frankel Conjecture on characterizing compact K„hler manifolds are also formulated.

Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds

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Publisher : World Scientific
ISBN 13 : 9789971508029
Total Pages : 296 pages
Book Rating : 4.5/5 (8 download)

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Book Synopsis Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds by : Ngaiming Mok

Download or read book Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds written by Ngaiming Mok and published by World Scientific. This book was released on 1989 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact types in terms of curvature conditions. The proofs of these metric rigidity theorems are applied to the study of holomorphic mappings between manifolds X of the same type. Moreover, a dual version of the generalized Frankel Conjecture on characterizing compact K„hler manifolds are also formulated.

Local and Global Methods in Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 1470434881
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Local and Global Methods in Algebraic Geometry by : Nero Budur

Download or read book Local and Global Methods in Algebraic Geometry written by Nero Budur and published by American Mathematical Soc.. This book was released on 2018-07-26 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held from May 12–15, 2016, at the University of Illinois at Chicago, in honor of Lawrence Ein's 60th birthday. The articles cover a broad range of topics in algebraic geometry and related fields, including birational geometry and moduli theory, analytic and positive characteristic methods, geometry of surfaces, singularity theory, hyper-Kähler geometry, rational points, and rational curves.

Compactifications of Symmetric and Locally Symmetric Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644660
Total Pages : 477 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Compactifications of Symmetric and Locally Symmetric Spaces by : Armand Borel

Download or read book Compactifications of Symmetric and Locally Symmetric Spaces written by Armand Borel and published by Springer Science & Business Media. This book was released on 2006-07-25 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology

Geometric Function Theory in Several Complex Variables

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Publisher : World Scientific
ISBN 13 : 9812560238
Total Pages : 353 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Geometric Function Theory in Several Complex Variables by : Carl Hanson FitzGerald

Download or read book Geometric Function Theory in Several Complex Variables written by Carl Hanson FitzGerald and published by World Scientific. This book was released on 2004 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002

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Publisher : World Scientific
ISBN 13 : 9814481912
Total Pages : 353 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002 by : Sheng Gong

Download or read book Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002 written by Sheng Gong and published by World Scientific. This book was released on 2004-09-23 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Complex Geometric Analysis in Pohang

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Publisher : American Mathematical Soc.
ISBN 13 : 0821809571
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Geometric Analysis in Pohang by : Kang-Tae Kim

Download or read book Complex Geometric Analysis in Pohang written by Kang-Tae Kim and published by American Mathematical Soc.. This book was released on 1999 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the proceedings of a conference on the geometric analysis of several complex variables held at POSTECH in June 1997. The conference was attended by scienctists and students from around the globe. Each of the five plenary speakers at the conference gave a short course on a topic of current interest in the field. The lecture write-ups contain cogent and accessible information intended for a broad audience. The volume also includes a tutorial in several complex variables given by Kim and Krantz at the conference. This tutorial is geared toward helping the novice to understand the rest of the material in the book. The bibliographies of the papers give students and young mathematicians a valuable resource for future learning on the topic. This book provides a substantial overview on areas of current activity. Required background for understanding the text is a solid undergraduate education in mathematics and familiarity with first year graduate studies in real and complex analysis. Some exposure to geometry would be helpful. The book is also suitable for use as a supplemental course text.

Geometric Complex Analysis

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Publisher : Springer
ISBN 13 : 9811316724
Total Pages : 359 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Geometric Complex Analysis by : Jisoo Byun

Download or read book Geometric Complex Analysis written by Jisoo Byun and published by Springer. This book was released on 2018-09-08 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.

Arithmetic Groups and Their Generalizations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848666
Total Pages : 282 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Arithmetic Groups and Their Generalizations by : Lizhen Ji

Download or read book Arithmetic Groups and Their Generalizations written by Lizhen Ji and published by American Mathematical Soc.. This book was released on 2008 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n, \mathbf{Z})$. Yet, many applications of arithmetic groups and many connections to other subjects within mathematics are less well known. Indeed, arithmetic groups admit many natural and important generalizations. The purpose of this expository book is to explain, through some brief and informal comments and extensive references, what arithmetic groups and their generalizations are, why they are important to study, and how they can be understood and applied to many fields, such as analysis, geometry, topology, number theory, representation theory, and algebraic geometry. It is hoped that such an overview will shed a light on the important role played by arithmetic groups in modern mathematics. Titles in this series are co-published with International Press, Cambridge, MA.Table of Contents: Introduction; General comments on references; Examples of basic arithmetic groups; General arithmetic subgroups and locally symmetric spaces; Discrete subgroups of Lie groups and arithmeticity of lattices in Lie groups; Different completions of $\mathbb{Q}$ and $S$-arithmetic groups over number fields; Global fields and $S$-arithmetic groups over function fields; Finiteness properties of arithmetic and $S$-arithmetic groups; Symmetric spaces, Bruhat-Tits buildings and their arithmetic quotients; Compactifications of locally symmetric spaces; Rigidity of locally symmetric spaces; Automorphic forms and automorphic representations for general arithmetic groups; Cohomology of arithmetic groups; $K$-groups of rings of integers and $K$-groups of group rings; Locally homogeneous manifolds and period domains; Non-cofinite discrete groups, geometrically finite groups; Large scale geometry of discrete groups; Tree lattices; Hyperbolic groups; Mapping class groups and outer automorphism groups of free groups; Outer automorphism group of free groups and the outer spaces; References; Index. Review from Mathematical Reviews: ...the author deserves credit for having done the tremendous job of encompassing every aspect of arithmetic groups visible in today's mathematics in a systematic manner; the book should be an important guide for some time to come.(AMSIP/43.

Geometry and Topology of Manifolds

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Publisher : Springer
ISBN 13 : 4431560211
Total Pages : 350 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Geometry and Topology of Manifolds by : Akito Futaki

Download or read book Geometry and Topology of Manifolds written by Akito Futaki and published by Springer. This book was released on 2016-06-03 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincaré conjecture, the Yau–Tian–Donaldson conjecture, and the Willmore conjecture. There are still many important and challenging unsolved problems including, among others, the Strominger–Yau–Zaslow conjecture on mirror symmetry, the relative Yau–Tian–Donaldson conjecture in Kähler geometry, the Hopf conjecture, and the Yau conjecture on the first eigenvalue of an embedded minimal hypersurface of the sphere. For the younger generation to approach such problems and obtain the required techniques, it is of the utmost importance to provide them with up-to-date information from leading specialists.The geometry conference for the friendship of China and Japan has achieved this purpose during the past 10 years. Their talks deal with problems at the highest level, often accompanied with solutions and ideas, which extend across various fields in Riemannian geometry, symplectic and contact geometry, and complex geometry.

Proceedings of the International Congress of Mathematicians

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Publisher : Birkhäuser
ISBN 13 : 3034890788
Total Pages : 1669 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Proceedings of the International Congress of Mathematicians by : S.D. Chatterji

Download or read book Proceedings of the International Congress of Mathematicians written by S.D. Chatterji and published by Birkhäuser. This book was released on 2012-12-06 with total page 1669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)

Several Complex Variables and Complex Geometry, Part II

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Publisher : American Mathematical Soc.
ISBN 13 : 0821814907
Total Pages : 644 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Several Complex Variables and Complex Geometry, Part II by : Eric Bedford

Download or read book Several Complex Variables and Complex Geometry, Part II written by Eric Bedford and published by American Mathematical Soc.. This book was released on 1991 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of Nonconvex Analysis

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Publisher : Springer
ISBN 13 : 3540467157
Total Pages : 214 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Methods of Nonconvex Analysis by : Arrigo Cellina

Download or read book Methods of Nonconvex Analysis written by Arrigo Cellina and published by Springer. This book was released on 2006-11-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the International Conference on Complex Geometry and Related Fields

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Publisher : American Mathematical Soc.
ISBN 13 : 0821839497
Total Pages : 414 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Proceedings of the International Conference on Complex Geometry and Related Fields by : Zhijie Chen

Download or read book Proceedings of the International Conference on Complex Geometry and Related Fields written by Zhijie Chen and published by American Mathematical Soc.. This book was released on 2007 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: In commemoration and celebration of the tenth anniversary of the Institute of Mathematics at East China Normal University, an International Conference on complex geometry and related fields recently convened. This collection presents some of the conference highlights, dealing with various and significant topics of differential and algebraic geometry, while exploring their connections to number theory and mathematical physics. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA.

Complex Analysis and Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 1475797710
Total Pages : 418 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Complex Analysis and Geometry by : Vincenzo Ancona

Download or read book Complex Analysis and Geometry written by Vincenzo Ancona and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this wide-ranging collection report on the results of investigations from a number of linked disciplines, including complex algebraic geometry, complex analytic geometry of manifolds and spaces, and complex differential geometry.

Metrical and Dynamical Aspects in Complex Analysis

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Publisher : Springer
ISBN 13 : 3319658379
Total Pages : 184 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Metrical and Dynamical Aspects in Complex Analysis by : Léa Blanc-Centi

Download or read book Metrical and Dynamical Aspects in Complex Analysis written by Léa Blanc-Centi and published by Springer. This book was released on 2017-11-03 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sense of Gromov and operator theory, all very active areas of research. The modern points of view expressed in these notes, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The different topics are treated coherently and include expository presentations of the relevant tools, techniques and objects, which will be particularly useful for graduate and PhD students specializing in the area.

Complex Hyperbolic Geometry

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Publisher : Oxford University Press
ISBN 13 : 9780198537939
Total Pages : 342 pages
Book Rating : 4.5/5 (379 download)

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Book Synopsis Complex Hyperbolic Geometry by : William Mark Goldman

Download or read book Complex Hyperbolic Geometry written by William Mark Goldman and published by Oxford University Press. This book was released on 1999 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive treatment of the geometry of complex hyperbolic space, a rich area of research with numerous connections to other branches of mathematics, including Riemannian geometry, complex analysis, symplectic and contact geometry, Lie groups, and harmonic analysis.