Geometry of Submanifolds
eBook - ePub

Geometry of Submanifolds

Bang-Yen Chen

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  1. 192 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Geometry of Submanifolds

Bang-Yen Chen

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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.

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Information

Publisher
Dover Publications
Year
2019
ISBN
9780486840628
Topic
Mathematics
Subtopic
Differential Geometry
Index
Mathematics

Table of contents