Principal curvatures of isoparametric hypersurfaces in complex hyperbolic spaces Miguel Domínguez Vázquez joint work with J. Carlos Díaz Ramos Conference.

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Presentation transcript:

Principal curvatures of isoparametric hypersurfaces in complex hyperbolic spaces Miguel Domínguez Vázquez joint work with J. Carlos Díaz Ramos Conference in Geometry and Global Analysis Celebrating P. Gilkey’s 65th Birthday Department of Geometry and Topology University of Santiago de Compostela

Contents

Isoparametric hypersurfaces Basic definitions and notation

Isoparametric hypersurfaces A problem in Geometric Optics

Isoparametric hypersurfaces General results

Isoparametric hypersurfaces Homogeneous hypersurfaces

Isoparametric hypersurfaces The classification in space forms

Isoparametric hypersurfaces Generalization to more general ambient spaces

The problem in CP n and CH n Basic definitions

? 12345> ? The problem in CP n and CH n Real hypersurfaces with constant principal curvatures g h g h ??

The problem in CP n and CH n Behaviour of isoparametric hypersurfaces with respect to Hopf fibrations

The problem in CH n Homogeneous hypersurfaces in CH n

The problem in CH n Isoparametric hypersurfaces in CH n

The problem in CH n Isoparametric hypersurfaces in CH n

The problem in CH n New isoparametric hypersurfaces

The problem in CH n New isoparametric hypersurfaces

Thanks for your attention!

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