A Sampler of Riemann-Finsler Geometry

By: David Bao (Editor), Robert L. Bryant (Editor), Shiing-Shen Chern (Editor)

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Paperback | 9 September 2010

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376 Pages

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23.39 x 15.6 x 1.98

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Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. This book presents an expository account of seven important topics in Riemann-Finsler geometry, ones which have recently undergone significant development but have not had a detailed pedagogical treatment elsewhere. Each article will open the door to an active area of research, and is suitable for a special topics course in graduate-level differential geometry. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized jet bundles, and include a variety of instructive examples.

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You Can Find This Book In

Non-Fiction Mathematics Geometry Analytic Geometry Science Science in General Topology Differential & Riemannian Geometry

Preface
Synopses
Volumes on normed and Finsler spaces
Anisotropic and crystalline mean curvature flow
Finsler geometry on complex vector bundles
Finsler geometry of holomorphic jet bundles
Ricci and flag curvatures in Finsler geometry
Nonreversible Finsler metrics of positive flag curvature
Landsberg curvature, S-curvature and Riemann curvature
Index
Table of Contents provided by Publisher. All Rights Reserved.

A Sampler of Riemann-Finsler Geometry

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