Author : Marcos Dajczer
Publisher : Springer
ISBN 13 : 1493996444
Total Pages : 628 pages
Book Rating : 4.4/5 (939 download)
Book Synopsis Submanifold Theory by : Marcos Dajczer
Download or read book Submanifold Theory written by Marcos Dajczer and published by Springer. This book was released on 2019-08-02 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms. One main theme is the isometric and conformal deformation problem for submanifolds of arbitrary dimension and codimension. Several relevant classes of submanifolds are also discussed, including constant curvature submanifolds, submanifolds of nonpositive extrinsic curvature, conformally flat submanifolds and real Kaehler submanifolds. This is the first textbook to treat a substantial proportion of the material presented here. The first chapters are suitable for an introductory course on Submanifold theory for students with a basic background on Riemannian geometry. The remaining chapters could be used in a more advanced course by students aiming at initiating research on the subject, and are also intended to serve as a reference for specialists in the field.