A Sampler of Riemann-Finsler Geometry

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  • Format: Hardcover
  • Copyright: 2004-11-01
  • Publisher: Cambridge University Press

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Finsler geometry generalises Riemannian geometry in the same sense that Banach spaces generalise 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 parametrised jet bundles, and include a variety of instructive examples.

Table of Contents

Preface ix
Synopses xi
Volumes on Normed and Finsler Spaces
J. C. Alvarez Paiva
A. C. Thompson
Anisotropic and Crystalline Mean Curvature Flow
Giovanni Bellettini
Finsler Geometry on Complex Vector Bundles
Tadashi Aikou
Finsler Geometry of Holomorphic Jet Bundles
Karen Chandler
Pit-Mann Wong
Ricci and Flag Curvatures in Finsler Geometry
David Bao
Colleen Robles
Nonreversible Finsler Metrics of Positive Flag Curvature
Hans-Bert Rademacher
Landsberg Curvature, S-Curvature and Riemann Curvature
Zhongmin Shen
Index 357

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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