Geometry of Submanifolds

Edition: Reprint
Format: Paperback
Pub. Date: 2019-06-12
Publisher(s): Dover Publications
  • Free Shipping Icon

    Free Shipping on All Orders!

    *excludes Marketplace items.

List Price: $19.95

Buy New

Usually Ships in 2-3 Business Days

Rent Book

Select for Price
There was a problem. Please try again later.

Rent Digital

Online: 1825 Days access
Downloadable: Lifetime Access

Used Book

We're Sorry
Sold Out

This item is being sold by an Individual Seller and will not ship from the Online Bookstore's warehouse. The Seller must confirm the order within two business days. If the Seller refuses to sell or fails to confirm within this time frame, then the order is cancelled.

Please be sure to read the Description offered by the Seller.


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 Biography

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.

Table of Contents

Table of contents:
1. Riemannian Manifolds
2. Submanifolds
3. Minimal Submanifolds
4. Submanifolds with Parallel Mean Curvature Vector
5. Conformally Flat Submanifolds
6. Umbilical Submanifolds
7. Geometric Inequalities
Author Index
Subject Index

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.