real hypersurfaces with constant principal curvatures in complex projective and hyperbolic spaces
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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
as a symmetric space The submanifolds W2n-k
Main Theorem
Main Theorem Idea of the proof
Main Theorem
Contents
Main Theorem Idea of the proof
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