Geometry of Hypersurfaces

• Main Authors: Cecil, Thomas E. (Author), Ryan, Patrick J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Springer Monographs in Mathematics,
• Subjects: 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...