Submanifolds and Holonomy Contributor(s): Berndt, Jurgen (Author), Console, Sergio (Author), Olmos, Carlos Enrique (Author) |
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ISBN: 1482245159 ISBN-13: 9781482245158 Publisher: CRC Press OUR PRICE: $190.00 Product Type: Hardcover - Other Formats Published: February 2016 |
Additional Information |
BISAC Categories: - Mathematics | Arithmetic - Mathematics | Geometry - Differential |
Dewey: 516.362 |
LCCN: 2015038706 |
Series: Monographs and Research Notes in Mathematics |
Physical Information: 1.2" H x 6.1" W x 9.3" (1.85 lbs) 494 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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
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. |