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Author : Brian Kenneth O'Byrne
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.E/5 ( download)
Download or read book On Finsler Geometry and Applications to Teichmüller Spaces written by Brian Kenneth O'Byrne and published by . This book was released on 1970 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony Tromba
Publisher : Birkhäuser
ISBN 13 : 3034886136
Total Pages : 224 pages
Book Rating : 4.0/5 (348 download)
Download or read book Teichmüller Theory in Riemannian Geometry written by Anthony Tromba and published by Birkhäuser. This book was released on 2012-12-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986. Since then many of our colleagues have encouraged us to publish our approach to the subject in a concise format, easily accessible to a broad mathematical audience. However, it was the invitation by the faculty of the ETH Ziirich to deliver the ETH N achdiplom-Vorlesungen on this material which provided the opportunity for the author to develop our research papers into a format suitable for mathematicians with a modest background in differential geometry. We also hoped it would provide the basis for a graduate course stressing the application of fundamental ideas in geometry. For this opportunity the author wishes to thank Eduard Zehnder and Jiirgen Moser, acting director and director of the Forschungsinstitut fiir Mathematik at the ETH, Gisbert Wiistholz, responsible for the Nachdiplom Vorlesungen and the entire ETH faculty for their support and warm hospitality. This new approach to Teichmiiller theory presented here was undertaken for two reasons. First, it was clear that the classical approach, using the theory of extremal quasi-conformal mappings (in this approach we completely avoid the use of quasi-conformal maps) was not easily applicable to the theory of minimal surfaces, a field of interest of the author over many years. Second, many other active mathematicians, who at various times needed some Teichmiiller theory, have found the classical approach inaccessible to them.
Author : Lars Valerian Ahlfors
Publisher : Princeton University Press
ISBN 13 : 9780691080819
Total Pages : 436 pages
Book Rating : 4.0/5 (88 download)
Download or read book Advances in the Theory of Riemann Surfaces written by Lars Valerian Ahlfors and published by Princeton University Press. This book was released on 1971-07-21 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.
Author : David Dai-Wai Bao
Publisher : American Mathematical Soc.
ISBN 13 : 082180507X
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)
Download or read book Finsler Geometry written by David Dai-Wai Bao and published by American Mathematical Soc.. This book was released on 1996 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume features proceedings from the 1995 Joint Summer Research Conference on Finsler Geometry, chaired by S. S. Chern and co-chaired by D. Bao and Z. Shen. The editors of this volume have provided comprehensive and informative "capsules" of presentations and technical reports. This was facilitated by classifying the papers into the following 6 separate sections - 3 of which are applied and 3 are pure: * Finsler Geometry over the reals * Complex Finsler geometry * Generalized Finsler metrics * Applications to biology, engineering, and physics * Applications to control theory * Applications to relativistic field theory Each section contains a preface that provides a coherent overview of the topic and includes an outline of the current directions of research and new perspectives. A short list of open problems concludes each contributed paper. A number of photos are featured in the volumes, for example, that of Finsler. In addition, conference participants are also highlighted.
Author : Yoichi Imayoshi
Publisher : Springer Science & Business Media
ISBN 13 : 4431681744
Total Pages : 291 pages
Book Rating : 4.4/5 (316 download)
Download or read book An Introduction to Teichmüller Spaces written by Yoichi Imayoshi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an easy and compact access to the theory of TeichmA1/4ller spaces, starting from the most elementary aspects to the most recent developments, e.g. the role this theory plays with regard to string theory. TeichmA1/4ller spaces give parametrization of all the complex structures on a given Riemann surface. This subject is related to many different areas of mathematics including complex analysis, algebraic geometry, differential geometry, topology in two and three dimensions, Kleinian and Fuchsian groups, automorphic forms, complex dynamics, and ergodic theory. Recently, TeichmA1/4ller spaces have begun to play an important role in string theory. Imayoshi and Taniguchi have attempted to make the book as self-contained as possible. They present numerous examples and heuristic arguments in order to help the reader grasp the ideas of TeichmA1/4ller theory. The book will be an excellent source of information for graduate students and reserachers in complex analysis and algebraic geometry as well as for theoretical physicists working in quantum theory.
Author : G.S. Asanov
Publisher : Springer Science & Business Media
ISBN 13 : 9400953291
Total Pages : 375 pages
Book Rating : 4.4/5 (9 download)
Download or read book Finsler Geometry, Relativity and Gauge Theories written by G.S. Asanov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods of differential geometry have been so completely merged nowadays with physical concepts that general relativity may well be considered to be a physical theory of the geometrical properties of space-time. The general relativity principles together with the recent development of Finsler geometry as a metric generalization of Riemannian geometry justify the attempt to systematize the basic techniques for extending general relativity on the basis of Finsler geometry. It is this endeavour that forms the subject matter of the present book. Our exposition reveals the remarkable fact that the Finslerian approach is automatically permeated with the idea of the unification of the geometrical space-time picture with gauge field theory - a circumstance that we try our best to elucidate in this book. The book has been written in such a way that the reader acquainted with the methods of tensor calculus and linear algebra at the graduate level can use it as a manual of Finslerian techniques orientable to applications in several fields. The problems attached to the chapters are also intended to serve this purpose. This notwithstanding, whenever we touch upon the Finslerian refinement or generalization of physical concepts, we assume that the reader is acquainted with these concepts at least at the level of the standard textbooks, to which we refer him or her.
Author : John Hamal Hubbard
Publisher :
ISBN 13 : 9781943863013
Total Pages : 576 pages
Book Rating : 4.8/5 (63 download)
Download or read book Teichmüller Theory and Applications to Geometry, Topology, and Dynamics written by John Hamal Hubbard and published by . This book was released on 2022-02 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sruthy Baby
Publisher :
ISBN 13 : 9781701139145
Total Pages : 149 pages
Book Rating : 4.1/5 (391 download)
Download or read book The Geometry of Finsler Spaces: an Approach Via Special Finsler Metric written by Sruthy Baby and published by . This book was released on 2019-10-20 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finsler geometry is Riemannian geometry without the restriction that the line element be quadratic. It has applications in many field of natural science especially in mechanics, gravitational theory, electromagnetism, information geometry etc. This book presents some work done by the author on the theory of projective change between two Finsler spaces, Conformal change of Douglas space with special Finsler metric, Nonholonomic Frames for Finsler space with special ( α, β) metric, Reversible geodesics of Finslerian space, Complex Finsler space, Rander -conformal change of Finsler spaces, and the curvature properties of Finsler space. The chapters included in this book contains fundamental topic of modern Riemann Finsler geometry, including the notion of curvature, projectively flat metrics, dually flat metrics which are interesting not only for specialists in Finsler Geometry, but for researchers in Riemann Geometry or other field of differential geometry.The book provides readers with essential findings on a special type of Finsler metric, which can be considered as a generalization of Randers metric and square metric.The text includes the most recent topics in Finsler Geometry like Reversible geodesics of Finsler space, R-Complex Finsler space and transformation on Finsler metric.This book shall be of benefit to students in the field of Differential geometry, and will be of interest to physicists and mathematical biologists.
Author : Reiner Kuhnau
Publisher : Elsevier
ISBN 13 : 0080495176
Total Pages : 876 pages
Book Rating : 4.0/5 (84 download)
Download or read book Handbook of Complex Analysis written by Reiner Kuhnau and published by Elsevier. This book was released on 2004-12-09 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).
Author : Lipman Bers
Publisher : American Mathematical Soc.
ISBN 13 : 9780821809976
Total Pages : 642 pages
Book Rating : 4.8/5 (99 download)
Download or read book Selected Works of Lipman Bers written by Lipman Bers and published by American Mathematical Soc.. This book was released on 1998 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Abikoff
Publisher : American Mathematical Soc.
ISBN 13 : 0821836072
Total Pages : 364 pages
Book Rating : 4.8/5 (218 download)
Download or read book In the Tradition of Ahlfors and Bers, III written by William Abikoff and published by American Mathematical Soc.. This book was released on 2004 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains proceedings that reflects the 2001 Ahlfors-Bers Colloquium held at the University of Connecticut (Storrs). This book is suitable for graduate students and researchers interested in complex analysis.
Author : James Eells
Publisher : Cambridge University Press
ISBN 13 : 9780521773119
Total Pages : 316 pages
Book Rating : 4.7/5 (731 download)
Download or read book Harmonic Maps Between Riemannian Polyhedra written by James Eells and published by Cambridge University Press. This book was released on 2001-07-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: A research level book on harmonic maps between singular spaces, by renowned authors, first published in 2001.
Author : Frederick P. Gardiner
Publisher : American Mathematical Soc.
ISBN 13 : 0821819836
Total Pages : 396 pages
Book Rating : 4.8/5 (218 download)
Download or read book Quasiconformal Teichmuller Theory written by Frederick P. Gardiner and published by American Mathematical Soc.. This book was released on 2000 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Teichmüller space T(X) is the space of marked conformal structures on a given quasiconformal surface X. This volume uses quasiconformal mapping to give a unified and up-to-date treatment of T(X). Emphasis is placed on parts of the theory applicable to noncompact surfaces and to surfaces possibly of infinite analytic type. The book provides a treatment of deformations of complex structures on infinite Riemann surfaces and gives background for further research in many areas. These include applications to fractal geometry, to three-dimensional manifolds through its relationship to Kleinian groups, and to one-dimensional dynamics through its relationship to quasisymmetric mappings. Many research problems in the application of function theory to geometry and dynamics are suggested.
Author : Lars V. Ahlfors
Publisher : Academic Press
ISBN 13 : 1483261166
Total Pages : 460 pages
Book Rating : 4.4/5 (832 download)
Download or read book Contributions to Analysis written by Lars V. Ahlfors and published by Academic Press. This book was released on 2014-05-10 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributions to Analysis: A Collection of Papers Dedicated to Lipman Bers is a compendium of papers provided by Bers, friends, students, colleagues, and professors. These papers deal with Teichmuller spaces, Kleinian groups, theta functions, algebraic geometry. Other papers discuss quasiconformal mappings, function theory, differential equations, and differential topology. One paper discusses the results of the rigidity theorem of Mostow and its generalization by Marden in relation to geometric properties of Kleinian groups of the first kind. These results, obtained by planar methods, are presented in terms of the hyperbolic 3-space language, which is a natural pedestal in approaching the action of the Kleinian groups. Another paper reviews Riemann's vanishing theorem which solves the Jacobi inversion problem, by relating the vanishing properties of the theta function (particularly at half periods) to properties of certain linear series on the Riemann surface. One paper examines the problem of obtaining relations among the periods of the differentials of first kind on a compact Riemann surface. An application of a computer program involves supersonic transport. The program is based on the hodograph transformation and a method of complex characteristics to calculate profiles that are shock-less at a specified angle of attack, or at a specified subsonic free-stream Mach number. The collection can prove useful for engineers, statisticians, students, and professors in advance mathematics or courses related to aeronautics.
Author : 松本誠
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.3/5 (91 download)
Download or read book Foundations of Finsler Geometry and Special Finsler Spaces written by 松本誠 and published by . This book was released on 1986 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gupta Manish Kumar
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659617850
Total Pages : 132 pages
Book Rating : 4.6/5 (178 download)
Download or read book Some Problems on Finsler Geometry written by Gupta Manish Kumar and published by LAP Lambert Academic Publishing. This book was released on 2015-10-13 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finsler geometry is a metric generalization of Riemannian geometry and constitutes a comparatively young branch of differential geometry. The germs of Finsler geometry were present in the epoc-making lecture of B. Riemann at Gottingen University in 1854. Finsler geometry has wide applications in the fields of Physics and Biology such as Thermodynamics, Optics, Relativity, Cosmology, Ecology and developmental Biology.
Author : Benson Farb
Publisher : American Mathematical Soc.
ISBN 13 : 0821898876
Total Pages : 371 pages
Book Rating : 4.8/5 (218 download)
Download or read book Moduli Spaces of Riemann Surfaces written by Benson Farb and published by American Mathematical Soc.. This book was released on 2013-08-16 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class groups. The courses consist of a set of intensive short lectures offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The book should be a valuable resource for graduate students and researchers interested in the topology, geometry and dynamics of moduli spaces of Riemann surfaces and related topics. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
