Submanifold geometry

Author: Xu Zhicai
Publisher:
Publish Date: 2003-08-01
Features: This book primarily studies the differential geometry of hypersurfaces. After introducing the basic concepts of Riemannian geometry, it conducts an in-depth study of hypersurfaces in Euclidean space, spherical space, Lorentz-Minkowski space, de Sitter space, and complex hyperbolic space, with all the results obtained being new. This book is suitable for graduate students in the field of differential geometry. This book primarily studies the differential geometry of hypersurfaces. After introducing the basic concepts of Riemannian geometry, it conducts an in-depth study of hypersurfaces in Euclidean space, spherical space, Lorentz-Minkowski space, de Sitter space, and complex hyperbolic space, with all the results obtained being new. This book is suitable for graduate students in the field of differential geometry.