An Introduction To Riemann Finsler Geometry
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Author |
: D. Bao |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 453 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461212683 |
ISBN-13 |
: 1461212685 |
Rating |
: 4/5 (83 Downloads) |
Synopsis An Introduction to Riemann-Finsler Geometry by : D. Bao
This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. "This book offers the most modern treatment of the topic ..." EMS Newsletter.
Author |
: David Dai-Wai Bao |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 460 |
Release |
: 2000-03-17 |
ISBN-10 |
: 038798948X |
ISBN-13 |
: 9780387989488 |
Rating |
: 4/5 (8X Downloads) |
Synopsis An Introduction to Riemann-Finsler Geometry by : David Dai-Wai Bao
This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. "This book offers the most modern treatment of the topic ..." EMS Newsletter.
Author |
: D. Bao |
Publisher |
: Springer |
Total Pages |
: 0 |
Release |
: 2012-10-03 |
ISBN-10 |
: 1461270707 |
ISBN-13 |
: 9781461270706 |
Rating |
: 4/5 (07 Downloads) |
Synopsis An Introduction to Riemann-Finsler Geometry by : D. Bao
This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. "This book offers the most modern treatment of the topic ..." EMS Newsletter.
Author |
: David Bao |
Publisher |
: |
Total Pages |
: 435 |
Release |
: 2000 |
ISBN-10 |
: OCLC:989566840 |
ISBN-13 |
: |
Rating |
: 4/5 (40 Downloads) |
Synopsis An Introduction to Riemann-Finsler Geometry by : David Bao
Author |
: Shiing-Shen Chern |
Publisher |
: World Scientific |
Total Pages |
: 206 |
Release |
: 2005 |
ISBN-10 |
: 9789812383570 |
ISBN-13 |
: 9812383573 |
Rating |
: 4/5 (70 Downloads) |
Synopsis Riemann-Finsler Geometry by : Shiing-Shen Chern
Riemann-Finsler geometry is a subject that concerns manifolds with Finsler metrics, including Riemannian metrics. It has applications in many fields of the natural sciences. Curvature is the central concept in Riemann-Finsler geometry. This invaluable textbook presents detailed discussions on important curvatures such the Cartan torsion, the S-curvature, the Landsberg curvature and the Riemann curvature. It also deals with Finsler metrics with special curvature or geodesic properties, such as projectively flat Finsler metrics, Berwald metrics, Finsler metrics of scalar curvature or isotropic S-curvature, etc. Instructive examples are given in abundance, for further description of some important geometric concepts. The text includes the most recent results, although many of the problems discussed are classical. Graduate students and researchers in differential geometry.
Author |
: Zhongmin Shen |
Publisher |
: World Scientific |
Total Pages |
: 323 |
Release |
: 2001-05-22 |
ISBN-10 |
: 9789814491655 |
ISBN-13 |
: 9814491659 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Lectures On Finsler Geometry by : Zhongmin Shen
In 1854, B Riemann introduced the notion of curvature for spaces with a family of inner products. There was no significant progress in the general case until 1918, when P Finsler studied the variation problem in regular metric spaces. Around 1926, L Berwald extended Riemann's notion of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then, Finsler geometry has developed steadily. In his Paris address in 1900, D Hilbert formulated 23 problems, the 4th and 23rd problems being in Finsler's category. Finsler geometry has broader applications in many areas of science and will continue to develop through the efforts of many geometers around the world.Usually, the methods employed in Finsler geometry involve very complicated tensor computations. Sometimes this discourages beginners. Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern metric geometry point of view. The book begins with the basics on Finsler spaces, including the notions of geodesics and curvatures, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory of regular metric measure spaces and Gromov's Hausdorff convergence theory.
Author |
: David Dai-Wai Bao |
Publisher |
: |
Total Pages |
: 431 |
Release |
: 2000 |
ISBN-10 |
: 7510005051 |
ISBN-13 |
: 9787510005053 |
Rating |
: 4/5 (51 Downloads) |
Synopsis An Introduction to Riemann-Finsler Geometry by : David Dai-Wai Bao
Author |
: Xiaohuan Mo |
Publisher |
: World Scientific |
Total Pages |
: 130 |
Release |
: 2006 |
ISBN-10 |
: 9789812773715 |
ISBN-13 |
: 9812773711 |
Rating |
: 4/5 (15 Downloads) |
Synopsis An Introduction to Finsler Geometry by : Xiaohuan Mo
This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and global results from classic and modern Finsler geometry, and gives non-trivial examples of Finsler manifolds satisfying different curvature conditions.
Author |
: David Dai-Wai Bao |
Publisher |
: Cambridge University Press |
Total Pages |
: 384 |
Release |
: 2004-11 |
ISBN-10 |
: 0521831814 |
ISBN-13 |
: 9780521831819 |
Rating |
: 4/5 (14 Downloads) |
Synopsis A Sampler of Riemann-Finsler Geometry by : David Dai-Wai Bao
These expository accounts treat issues related to volume, geodesics, curvature and mathematical biology, with instructive examples.
Author |
: Yi-bing Shen |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 406 |
Release |
: 2016-02-25 |
ISBN-10 |
: 9789814704922 |
ISBN-13 |
: 981470492X |
Rating |
: 4/5 (22 Downloads) |
Synopsis Introduction To Modern Finsler Geometry by : Yi-bing Shen
This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area. It includes local geometry as well as global geometry of Finsler manifolds.In Part I, the authors discuss differential manifolds, Finsler metrics, the Chern connection, Riemannian and non-Riemannian quantities. Part II is written for readers who would like to further their studies in Finsler geometry. It covers projective transformations, comparison theorems, fundamental group, minimal immersions, harmonic maps, Einstein metrics, conformal transformations, amongst other related topics. The authors made great efforts to ensure that the contents are accessible to senior undergraduate students, graduate students, mathematicians and scientists.