株式会社極東書店トップ ＞ 商品一覧 ＞ Riemannian Geometry. Softcover reprint of hardcover 2nd ed. 2006.
商品詳細
Riemannian Geometry. Softcover reprint of hardcover 2nd ed. 2006.
・ISBN 978-1-4419-2123-9 paper EUR 54.99
￥14,698.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Petersen, Peter, |
|---|---|
| シリーズ | Graduate Texts in Mathematics |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2010 |
| ページ数 | 405 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-19090＞ |
解説
Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting the most up-to-date research.
Important additions to this new edition include:
- A completely new coordinate free formula that is easily remembered, and is, in fact, the Koszul formula in disguise
- An increased number of coordinate calculations of connection and curvature
- General fomulas for curvature on Lie Groups and submersions
- Variational calculus has been integrated into the text, which allows for an early treatment of the Sphere theorem using a forgottten proof by Berger
- Several recent results about manifolds with positive curvature