Geometry of Hypersurfaces

• Κύριοι συγγραφείς: Cecil, Thomas E. (Συγγραφέας), Ryan, Patrick J. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Differential geometry.; Hyperbolic geometry.; Differential Geometry.; Topological Groups, Lie Groups.; Hyperbolic Geometry.

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...

Πίνακας περιεχομένων:

• 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.