on isoparametric hypersurfaces in complex hyperbolic spaces miguel domínguez vázquez (joint work...
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On isoparametric hypersurfaces in complex
hyperbolic spaces
Miguel Domínguez Vázquez(joint work with J. Carlos Díaz Ramos)
International Meeting on Differential Geometry, Córdoba 2010
Department of Geometry and TopologyUniversity of Santiago de Compostela
Contents
Isoparametric hypersurfaces Basic definitions and notation
Isoparametric hypersurfaces General results
?
Isoparametric hypersurfaces The problem in space forms
Isoparametric hypersurfaces Generalization to more general ambient spaces
The problem in CPn and CHn Basic definitions
?
1 2 3 4 5 > 5
1
2
3
4
5
> 5
?
1 2 3 4 5 > 5
1
2
3
4
5
> 5
The problem in CPn and CHn Real hypersurfaces with constant principal curvatures
gh
gh
? ?
The problem in CPn and CHnBehaviour of isoparametric hypersurfaces with respect to Hopf fibrations
The problem in CHn Isoparametric hypersurfaces in CHn
The problem in CHn New isoparametric hypersurfaces
Thanks for your attention!
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