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商品詳細
Geometry of Nonpositively Curved Manifolds.
・ISBN 978-0-226-18198-1 paper US$ 155.00
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| 著者・編者 | Eberlein, Patrick B., |
|---|---|
| シリーズ | Chicago Lectures in Mathematics Series CLM |
| 出版社 | (University of Chicago Press, US) |
| 出版年月 | 1997 |
| ページ数 | 456 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-15235＞ |
解説
Starting from the foundations, this text presents an almost entirely self-contained treatment of differentiable spaces of nonpositive curvature, focusing on the symmetric spaces in which every geodesic lies in a flat Euclidean space of dimension at least two. The book builds to a discussion of the Mostow Rigidity Theorem and its generalizations, and concludes by exploring the relationship in nonpositively curved spaces between geometric and algebraic properties of the fundamental group.