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The Geometry Of Total Curvature On Complete Open Surfaces
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Book Synopsis The Geometry of Total Curvature on Complete Open Surfaces by : Katsuhiro Shiohama
Download or read book The Geometry of Total Curvature on Complete Open Surfaces written by Katsuhiro Shiohama and published by Cambridge University Press. This book was released on 2003-11-13 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained account of how some modern ideas in differential geometry can be used to tackle and extend classical results in integral geometry. The authors investigate the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, though their work, much of which has never appeared in book form before, can be extended to more general spaces. Many classical results are introduced and then extended by the authors. The compactification of complete open surfaces is discussed, as are Busemann functions for rays. Open problems are provided in each chapter, and the text is richly illustrated with figures designed to help the reader understand the subject matter and get intuitive ideas about the subject. The treatment is self-contained, assuming only a basic knowledge of manifold theory, so is suitable for graduate students and non-specialists who seek an introduction to this modern area of differential geometry.
Book Synopsis Total Curvature in Riemannian Geometry by : Thomas Willmore
Download or read book Total Curvature in Riemannian Geometry written by Thomas Willmore and published by . This book was released on 1982 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.
Author :Victor Andreevich Toponogov Publisher :Springer Science & Business Media ISBN 13 :0817644024 Total Pages :215 pages Book Rating :4.8/5 (176 download)
Book Synopsis Differential Geometry of Curves and Surfaces by : Victor Andreevich Toponogov
Download or read book Differential Geometry of Curves and Surfaces written by Victor Andreevich Toponogov and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original problems (some with hints and solutions) Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels
Book Synopsis Complete Minimal Surfaces of Finite Total Curvature by : Kichoon Yang
Download or read book Complete Minimal Surfaces of Finite Total Curvature written by Kichoon Yang and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains an exposition of the theory of minimal surfaces in Euclidean space, with an emphasis on complete minimal surfaces of finite total curvature. Our exposition is based upon the philosophy that the study of finite total curvature complete minimal surfaces in R3, in large measure, coincides with the study of meromorphic functions and linear series on compact Riemann sur faces. This philosophy is first indicated in the fundamental theorem of Chern and Osserman: A complete minimal surface M immersed in R3 is of finite total curvature if and only if M with its induced conformal structure is conformally equivalent to a compact Riemann surface Mg punctured at a finite set E of points and the tangential Gauss map extends to a holomorphic map Mg _ P2. Thus a finite total curvature complete minimal surface in R3 gives rise to a plane algebraic curve. Let Mg denote a fixed but otherwise arbitrary compact Riemann surface of genus g. A positive integer r is called a puncture number for Mg if Mg can be conformally immersed into R3 as a complete finite total curvature minimal surface with exactly r punctures; the set of all puncture numbers for Mg is denoted by P (M ). For example, Jorge and Meeks [JM] showed, by constructing an example g for each r, that every positive integer r is a puncture number for the Riemann surface pl.
Book Synopsis Elements of the geometry and topology of minimal surfaces in three-dimensional space by : A. T. Fomenko
Download or read book Elements of the geometry and topology of minimal surfaces in three-dimensional space written by A. T. Fomenko and published by American Mathematical Soc.. This book was released on 2005 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of lectures presented to students of mathematics, physics, and mechanics by A. T. Fomenko at Moscow University, under the auspices of the Moscow Mathematical Society. The book describes modern and visual aspects of the theory of minimal, two-dimensional surfaces in three-dimensional space. The main topics covered are: topological properties of minimal surfaces, stable and unstable minimal films, classical examples, the Morse-Smale index of minimal two-surfaces in Euclidean space, and minimal films in Lobachevskian space. Requiring only a standard first-year calculus and elementary notions of geometry, this book brings the reader rapidly into this fascinating branch of modern geometry.
Book Synopsis Behavior of Distant Maximal Geodesics in Finitely Connected Complete 2-dimensional Riemannian Manifolds by : Takashi Shioya
Download or read book Behavior of Distant Maximal Geodesics in Finitely Connected Complete 2-dimensional Riemannian Manifolds written by Takashi Shioya and published by American Mathematical Soc.. This book was released on 1994 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies the topological shapes of geodesics outside a large compact set in a finitely connected, complete, and noncompact surface admitting total curvature. When the surface is homeomorphic to a plane, all such geodesics behave like those of a flat cone. In particular, the rotation numbers of the geodesics are controlled by the total curvature. Accessible to beginners in differential geometry, but also of interest to specialists, this monograph features many illustrations that enhance understanding of the main ideas.
Book Synopsis Total Mean Curvature and Submanifolds of Finite Type by : Bang-Yen Chen
Download or read book Total Mean Curvature and Submanifolds of Finite Type written by Bang-Yen Chen and published by World Scientific Publishing Company. This book was released on 2014-10-29 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. This unique and expanded second edition comprises a comprehensive account of the latest updates and new results that cover total mean curvature and submanifolds of finite type. The longstanding biharmonic conjecture of the author's and the generalized biharmonic conjectures are also presented in details. This book will be of use to graduate students and researchers in the field of geometry.
Book Synopsis Total Curvature in Riemannian Geometry by : Thomas Willmore
Download or read book Total Curvature in Riemannian Geometry written by Thomas Willmore and published by Halsted Press. This book was released on 1982 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry of Manifolds by : K. Shiohama
Download or read book Geometry of Manifolds written by K. Shiohama and published by Elsevier. This book was released on 1989-10-04 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at a symposium on differential geometry at Shinshu University in July of 1988. Carefully reviewed by a panel of experts, the papers pertain to the following areas of research: dynamical systems, geometry of submanifolds and tensor geometry, lie sphere geometry, Riemannian geometry, Yang-Mills Connections, and geometry of the Laplace operator.
Book Synopsis Analysis and Geometry on Graphs and Manifolds by : Matthias Keller
Download or read book Analysis and Geometry on Graphs and Manifolds written by Matthias Keller and published by Cambridge University Press. This book was released on 2020-08-20 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.
Book Synopsis Handbook of Differential Geometry, Volume 1 by : F.J.E. Dillen
Download or read book Handbook of Differential Geometry, Volume 1 written by F.J.E. Dillen and published by Elsevier. This book was released on 1999-12-16 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.
Book Synopsis Differential Geometry of Curves and Surfaces by : Thomas F. Banchoff
Download or read book Differential Geometry of Curves and Surfaces written by Thomas F. Banchoff and published by CRC Press. This book was released on 2010-03-01 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces, one- and two-dimensional objects in Euclidean space. The problems generally relate to questions of local properties (the properties
Book Synopsis Differential Geometry: Geometry in Mathematical Physics and Related Topics by : Robert Everist Greene
Download or read book Differential Geometry: Geometry in Mathematical Physics and Related Topics written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge
Book Synopsis Curvature and Topology of Riemannian Manifolds by : Katsuhiro Shiohama
Download or read book Curvature and Topology of Riemannian Manifolds written by Katsuhiro Shiohama and published by Springer. This book was released on 2006-11-14 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Differential Geometry of Space Curves and Surfaces by : Taha Sochi
Download or read book Introduction to Differential Geometry of Space Curves and Surfaces written by Taha Sochi and published by Lulu.com. This book was released on with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry and Related Topics by : Gu Chaohao
Download or read book Differential Geometry and Related Topics written by Gu Chaohao and published by World Scientific. This book was released on 2002-12-12 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Modern Mathematics and the International Symposium on Differential Geometry, in honor of Professor Su Buchin on the centenary of his birth, were held in September 2001 at Fudan University, Shanghai, China. Around 100 mathematicians from China, France, Japan, Singapore and the United States participated. The proceedings cover a broad spectrum of advanced topics in mathematics, especially in differential geometry, such as some problems of common interest in harmonic maps, submanifolds, the Yang-Mills field and the geometric theory of solitons. Contents:Asymptotic Behavior of Yang–Mills Flow in Higher Dimensions (Y M Chen et al.)Complete Submanifolds in Euclidean Spaces with Constant Scalar Curvature (Q M Cheng)On Mathematical Ship Lofting (G C Dong et al.)On the Nirenberg Problem (M Ji)Almost Complex Manifolds and a Differential Geometric Criterion for Hyperbolicity (S Kobayashi)Harmonic Maps Between Carnot Spaces (S Nishikawa)A Survey of Complete Manifolds with Bounded Radial Curvature Function (K Shiohama)On the Hensel Lift of a Polynomial (Z X Wan)A Note on Locally Real Hyperbolic Space with Finite Volume (Y H Yang)and other papers Readership: Researchers and graduate students in mathematics. Keywords:Differential Geometry;Harmonic Map;Submanifold;Yang-Mills Field;Geometric Theory of Solitons;Cohomology
Book Synopsis Jordan Structures in Geometry and Analysis by : Cho-Ho Chu
Download or read book Jordan Structures in Geometry and Analysis written by Cho-Ho Chu and published by Cambridge University Press. This book was released on 2011-11-17 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jordan theory has developed rapidly in the last three decades, but very few books describe its diverse applications. Here, the author discusses some recent advances of Jordan theory in differential geometry, complex and functional analysis, with the aid of numerous examples and concise historical notes. These include: the connection between Jordan and Lie theory via the Tits–Kantor–Koecher construction of Lie algebras; a Jordan algebraic approach to infinite dimensional symmetric manifolds including Riemannian symmetric spaces; the one-to-one correspondence between bounded symmetric domains and JB*-triples; and applications of Jordan methods in complex function theory. The basic structures and some functional analytic properties of JB*-triples are also discussed. The book is a convenient reference for experts in complex geometry or functional analysis, as well as an introduction to these areas for beginning researchers. The recent applications of Jordan theory discussed in the book should also appeal to algebraists.
