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A Sampler of Riemann-Finsler Geometry.
・ISBN 978-0-521-16873-1 paper GB£ 53.00
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| 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 | 2010 |
| ページ数 | 376 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-8432＞ |
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.