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A Sampler of Riemann-Finsler Geometry.

A Sampler of Riemann-Finsler Geometry.

・ISBN 978-0-521-83181-9 hard GB£ 135.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-009-70128-0

著者・編者Bao, David / Bryant, Robert L. / Chern, Shiing-Shen / Shen, Zhongmin (eds.),
シリーズMathematical Sciences Research Institute Publications
出版社(Cambridge University Press, UK)
出版年月2004
ページ数376 pp.
言語ENG
ニュース番号<M25-10181>

解説

Finsler geometry generalises Riemannian geometry in the same sense that Banach spaces generalise Hilbert spaces. This book presents an expository account of seven important topics in Riemann-Finsler geometry, ones which have 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 parametrised jet bundles, and include a variety of instructive examples.