Real hypersurfaces with constant principal curvatures in complex projective and hyperbolic spaces Miguel Domínguez Vázquez (joint work with J. C. Díaz Ramos) Departament of Geometry and Topology University of Santiago de Compostela Workshop on Hypersurface Geometry and Integrable Systems Sendai 2010
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Real hypersurfaces with constant principal curvatures in complex projective and hyperbolic spaces Miguel Domínguez Vázquez (joint work with J. C. Díaz.
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Real hypersurfaces with constant principal curvatures
in complex projective and hyperbolic spaces
Miguel Domínguez Vázquez (joint work with J. C. Díaz Ramos)
Departament of Geometry and TopologyUniversity of Santiago de Compostela
Workshop on Hypersurface Geometry and Integrable SystemsSendai 2010
Contents
Introduction Homogeneous hypersurfaces vs. hypersurfaceswith constant principal curvatures
?
Introduction The problem in space forms
Introduction The problem in complex space forms
1 2 3 4 5 > 5
1
2
3
4
5
> 5
?
1 2 3 4 5 > 5
1
2
3
4
5
> 5
Introduction
gh
gh
?
? ?
The problem in complex space forms
as a symmetric space Root space and Iwasawa decompositions