- 192 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Geometry of Submanifolds
About this book
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.
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.
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Yes, you can access Geometry of Submanifolds by Bang-Yen Chen in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Geometry. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Title Page
- Copyright Page
- Contents
- Preface
- 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
- Bibliography
- Author Index
- Subject Index