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...

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Main Authors: Cecil, Thomas E., Ryan, Patrick J. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: New York, NY Springer New York 2015, 2015
Edition:1st ed. 2015
Series:Springer Monographs in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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