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.
Product Identifiers
Publisher
Apple Academic Press Inc.
ISBN-13
9781482245158
eBay Product ID (ePID)
222354825
Product Key Features
Author
Carlos Enrique Olmos, Jurgen Berndt, Sergio Console
Publication Name
Submanifolds and Holonomy
Format
Hardcover
Language
English
Subject
Mathematics, Physics
Publication Year
2016
Type
Textbook
Number of Pages
456 Pages
Dimensions
Item Height
234mm
Item Width
156mm
Item Weight
839g
Additional Product Features
Title_Author
Carlos Enrique Olmos, Sergio Console, Jurgen Berndt
Series Title
Chapman & Hall/Crc Monographs and Research Notes in Mathematics