Geometry of Hypersurfaces
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms. The book is access...
| Main Authors: | , |
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| Language: | English |
| Published: |
New York, NY :
Springer New York : Imprint: Springer,
2015.
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| Edition: | 1st ed. 2015. |
| Series: | Springer Monographs in Mathematics,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-1-4939-3246-7 |
Table of Contents:
- Preface
- 1. Introduction
- 2. Submanifolds of Real Space Forms
- 3. Isoparametric Hypersurfaces
- 4. Submanifolds in Lie Sphere Geometry
- 5. Dupin Hypersurfaces
- 6. Real Hypersurfaces in Complex Space Forms
- 7. Complex Submanifolds of CPn and CHn
- 8. Hopf Hypersurfaces
- 9. Hypersurfaces in Quaternionic Space Forms
- Appendix A. Summary of Notation
- References
- Index.