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Geometry of Submanifolds
Contributor(s): Chen, Bang-Yen (Author)

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ISBN: 0486832783     ISBN-13: 9780486832784
Publisher: Dover Publications
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Binding Type: Paperback - See All Available Formats & Editions
Published: June 2019
* Out of Print *

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Additional Information
BISAC Categories:
- Mathematics | Geometry - Differential
- Mathematics | Reference
Dewey: 516.362
LCCN: 2018056577
Series: Dover Books on Mathematics
Physical Information: 0.5" H x 5.9" W x 8.9" L (0.60 lbs) 192 pages
Features: Bibliography, Index, Price on Product
 
Descriptions, Reviews, Etc.
Publisher Description:
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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