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Aspects of Differential Geometry III.
・ISBN 978-3-031-01282-2 paper EUR 44.99
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| 著者・編者 | Calvino-Louzao, Esteban / Garcia-Rio, Eduardo / Gilkey, Peter / Park, JeongHyeong / Vazquez-Lorenzo, Ramon, |
|---|---|
| シリーズ | Synthesis Lectures on Mathematics & Statistics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2017 |
| ページ数 | 145 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-5922＞ |
解説
Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level but is certainly accessible to advanced undergraduates. It deals with invariance theory and discusses invariants both of Weyl and not of Weyl type; the Chern-Gauss-Bonnet formula is treated from this point of view. Homothety homogeneity, local homogeneity, stability theorems, and Walker geometry are discussed. Ricci solitons are presented in the contexts of Riemannian, Lorentzian, and affine geometry.