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A sampler of Riemann-Finsler geometry

✍ Scribed by David Bao, Robert L. Bryant, Shiing-Shen Chern, Zhongmin Shen


Book ID
127422794
Publisher
Cambridge University Press
Year
2004
Tongue
English
Weight
2 MB
Series
Mathematical Sciences Research Institute publications 50
Category
Library
City
Cambridge, UK; New York
ISBN-13
9780521831819

No coin nor oath required. For personal study only.

✦ Synopsis


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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