A sampler of Riemann-Finsler geometry

David Bao, Robert L. Bryant, Shiing-Shen Chern, Zhongmin Shen0521831814, 9780521831819

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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Table of contents :
fm.pdf……Page 1
00cont.pdf……Page 7
00pref.pdf……Page 8
01syn.pdf……Page 10
02AT.pdf……Page 12
03Be.pdf……Page 60
04Ai.pdf……Page 94
05CW.pdf……Page 117
06BR.pdf……Page 208
07Ra.pdf……Page 271
08Sh.pdf……Page 314
09ind.pdf……Page 367