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Synopsis
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.
"synopsis" may belong to another edition of this title.
About the 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.
"About this title" may belong to another edition of this title.
- PublisherDover Publications
- Publication date2019
- ISBN 10 0486832783
- ISBN 13 9780486832784
- BindingPaperback
- LanguageEnglish
- Number of pages192
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ISBN 10: 0486832783
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Paperback. Condition: new. Paperback. 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. Newly updated reference covers Riemannian geometry and theory of submanifolds, minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, umbilical manifolds, geometric inequalities of submanifolds, more. 2019 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486832784
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