株式会社極東書店トップ ＞ 商品一覧 ＞ Submanifolds and Holonomy. 2nd edition.
商品詳細
Submanifolds and Holonomy. 2nd edition.
・ISBN 978-1-4822-4515-8 hard GB£ 187.99
￥59,555.- (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。
電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-429-11351-2
| 著者・編者 | Berndt, Jurgen / Console, Sergio / Olmos, Carlos Enrique, |
|---|---|
| シリーズ | Chapman & Hall/CRC Monographs and Research Notes in Mathematics |
| 出版社 | (Chapman & Hall/CRC, US) |
| 出版年月 | 2016 |
| ページ数 | 494 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-5165 M25-6760＞ |
解説
Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.
New to the Second Edition
- New chapter on normal holonomy of complex submanifolds
- New chapter on the Berger-Simons holonomy theorem
- New chapter on the skew-torsion holonomy system
- New chapter on polar actions on symmetric spaces of compact type
- New chapter on polar actions on symmetric spaces of noncompact type
- New section on the existence of slices and principal orbits for isometric actions
- New subsection on maximal totally geodesic submanifolds
- New subsection on the index of symmetric spaces
The book uses the reduction of codimension, Moore's lemma for local splitting, and the normal holonomy theorem to address the geometry of submanifolds. It presents a unified treatment of new proofs and main results of homogeneous submanifolds, isoparametric submanifolds, and their generalizations to Riemannian manifolds, particularly Riemannian symmetric spaces.