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A Sampler of Riemann-Finsler Geometry : Mathematical Sciences Research Institute Publications - David Dai-Wai Bao

A Sampler of Riemann-Finsler Geometry

Mathematical Sciences Research Institute Publications

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


Published: 9th September 2010
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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.

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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521168731
ISBN-10: 0521168732
Series: Mathematical Sciences Research Institute Publications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 376
Published: 9th September 2010
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 2.0
Weight (kg): 0.53