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On isoparametric hypersurfaces in complex hyperbolic spaces

International Meeting on Differential Geometry, Córdoba 2010. On isoparametric hypersurfaces in complex hyperbolic spaces. Miguel Domínguez Vázquez (joint work with J. Carlos Díaz Ramos). Department of Geometry and Topology University of Santiago de Compostela. Contents.

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On isoparametric hypersurfaces in complex hyperbolic spaces

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  1. International Meeting on Differential Geometry, Córdoba 2010 On isoparametric hypersurfaces in complex hyperbolic spaces Miguel Domínguez Vázquez (joint work with J. Carlos Díaz Ramos) Department of Geometry and Topology University of Santiago de Compostela

  2. Contents

  3. Isoparametric hypersurfaces Basic definitions and notation

  4. Isoparametric hypersurfaces General results ?

  5. Isoparametric hypersurfaces The problem in space forms

  6. Isoparametric hypersurfaces Generalization to more general ambient spaces

  7. The problem in CPn and CHn Basic definitions

  8. The problem in CPn and CHn Real hypersurfaces with constant principal curvatures g g h h ? ? ? ?

  9. Behaviour of isoparametric hypersurfaces with respect to Hopf fibrations The problem in CPn and CHn

  10. The problem in CHn Isoparametric hypersurfaces in CHn

  11. The problem in CHn New isoparametric hypersurfaces

  12. Thanks for your attention!

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