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Joined: 14 Jun 2009 Posts: 700
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Posted: 22/10/2011 22:07 Post subject: A Sampler of Riemann-Finsler Geometry |
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A Sampler of Riemann-Finsler Geometry By David Bao, Robert L. Bryant, Shiing-Shen Chern, Zhongmin Shen
Publisher: C U P 2004 | 376 Pages | ISBN: 0521831814 | PDF | 2 MB
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 deosebit 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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