Submanifold geometry

Author: Ji Yongqiang
Publisher:
Publish Date: 2004-01-01
Features: This book primarily discusses the geometry of manifolds in Riemannian geometry, focusing on manifolds in space forms, totally umbilical submanifolds, pseudoumbilical submanifolds, isometric submanifolds, submanifolds with parallel mid-curvature vectors, submanifolds in locally symmetric spaces, totally geodesic submanifolds, and various minimal submanifolds. This book can serve as a selective textbook for senior undergraduate and graduate students in mathematics departments of comprehensive universities and normal universities, as well as a reference for mathematicians and physicists.