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.
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.
Download or read book Finsler Geometry and Applications written by Aurel Bejancu and published by . This book was released on 1990 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is two-fold. The author aims to show that Finsler geometry is based on the geometry of vertical vector bundles, and gives some applications of Finsler geometry to physics and engineering.
Download or read book Workshop on Finsler Geometry and Its Applications written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Foundations of Finsler geometry and special Finsler spaces written by Makoto Matsumoto and published by . This book was released on 1986 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Differential Geometry of Finsler Spaces written by Upendra Nath Ghoshal and published by . This book was released on 1959 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Studies in Applied Geometry written by Satoshi Ikeda and published by . This book was released on 1995 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Finsler Geometry written by P.L. Antonelli and published by Springer. This book was released on 2014-08-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was over three years ago, at the annual meeting of the American Ma- ematical Society in San Diego, California, that Dr. Paul Roos of Kluwer asked me to poll Finsler geometers around the world as to their interest in writing a HANDBOOK OF FINSLER GEOMETRY. The result of that query was a resounding a?rmation, and here at long last, is the ?nal result. You have in your hands, the most complete and authoritative exposition of state-of-the-art Finsler geometry that is possible, today. Each of the eleven partsiscompletely independent of the rest, and each has been written with mathematics and science students in mind. These articles are accessible! P. L. Antonelli Edmonton, Alberta, Canada June, 2003 xv ACKNOWLEDGEMENTS The editors would like to express their sincere thanks to Vivian Spak, who typeset this book, and to Scott Berard, who kept our computers running. xvii HANDBOOK OF FINSLER GEOMETRY Volume 2 PART 1 Complex Finsler Geometry TadashiAikou Contents 1K] ] ahler Fibrations 9 1. 1 Fibrations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1. 2 LocalTreatments. . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1. 3 Bott Connections. . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1. 3. 1 StructureTensors. . . . . . . . . . . . . . . . . . . . . . . 14 1. 3. 2 Bott Connections. . . . . . . . . . . . . . . . . . . . . . . 16 1. 4 K]ahlerFibration . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2Complex Finsler Bundles 23 2. 1 Vector Bundles Over Complex Projective Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2. 2 ComplexFinslerMetrics. . . . . . . . . . . . . . . . . . . . . . . 27 2. 2. 1 Complete Circular Domains and Minkowski Functionals . 27 r r?1 2. 2. 2 Complex Finsler Metrics on C and Kahler ] ] Metrics on P 30 2. 2. 3 Complex Finsler Metric on Vector Bundles . . . . . . . ."
Download or read book Metric Methods in Finsler Spaces and in the Foundations of Geometry written by Herbert Busemann and published by . This book was released on 1942 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry and Analysis on Finsler Spacehb written by Qiaoling Xia and published by World Scientific Publishing Company. This book was released on 2025-01-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometrie Finsler Lagrange written by Ioan Bucataru and published by . This book was released on 2007 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Teichm ller 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:
Download or read book Problems on Mapping Class Groups and Related Topics written by Benson Farb and published by American Mathematical Soc.. This book was released on 2006-09-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.
Download or read book In the Tradition of Thurston written by Ken’ichi Ohshika and published by Springer Nature. This book was released on 2020-12-07 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed include, among others, knot theory, the topology of 3-manifolds, circle packings, complex projective structures, hyperbolic geometry, Kleinian groups, foliations, mapping class groups, Teichmüller theory, anti-de Sitter geometry, and co-Minkowski geometry. The book is addressed to researchers and students who want to learn about Thurston’s wide-ranging mathematical ideas and their impact. At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics.
Download or read book Quasiconformal Maps and Teichm ller Theory written by Alastair Fletcher and published by Oxford University Press, USA. This book was released on 2007 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Download or read book Fields Medallists Lectures written by Michael Atiyah and published by World Scientific. This book was released on 1997-10-13 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.
