The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold.
Suitable for graduate students and mathematicians in the area of classical and modern differential geometries, the treatment is largely self-contained. Problems sets conclude each chapter, and an extensive bibliography provides background for students wishing to conduct further research in this area. This new edition includes the author's corrections and revisions.
AUTHOR: Bang-yen Chen is University Distinguished Professor Emeritus at Michigan State University. His other books include Pseudo-Riemannian Geometry, D-Invariants and Applications, and Differential Geometry of Warped Product Manifolds and Submanifolds.
By:
Bang-Yen Chen Imprint: Dover Publications Inc. Country of Publication: United States Dimensions:
Height: 230mm,
Width: 150mm,
Spine: 10mm
Weight: 274g ISBN:9780486832784 ISBN 10: 0486832783 Pages: 304 Publication Date:01 August 2019 Audience:
College/higher education
,
Professional and scholarly
,
Primary
,
Undergraduate
Format:Paperback Publisher's Status: Unspecified
Bang-yen Chen is University Distinguished Professor Emeritus at Michigan State University. His other books include Pseudo-Riemannian Geometry, D-Invariants and Applications, and Differential Geometry of Warped Product Manifolds and Submanifolds.