These expository accounts treat issues related to volume, geodesics, curvature and mathematical biology, with instructive examples. Editor(s): Bao, David Dai-Wai; Bryant, Robert L.; Chern, Shiing-Shen; Shen, Zhongmin. Series: Mathematical Sciences Research Institute Publications. Num Pages: 376 pages, Illustrations. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 22. Weight in Grams: 654. . 2005. 1st Edition. hardcover. . . . .

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Bibliographic Details

Title: A Sampler of Riemann-Finsler Geometry: 50 (Mathematical Sciences Research Institute Publications, Series Number 50)
Publisher: Cambridge University Press
Publication Date: 2005
Language: English
ISBN 10: 0521831814
ISBN 13: 9780521831819
Binding: Hardcover
Edition: 1st Edition
Condition: New

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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.

Book Description

Expository accounts of six important topics in Finsler geometry suitable for a special-topics graduate course in differential geometry. They treat issues related to volume, geodesics, curvature and mathematical biology, and provide a good variety of instructive examples.

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