Isoparametric foliations on complex projective spaces Miguel Domínguez Vázquez Differential Geometry Days In honour of Luis A. Cordero Department of Geometry.

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Presentation transcript:

Isoparametric foliations on complex projective spaces Miguel Domínguez Vázquez Differential Geometry Days In honour of Luis A. Cordero Department of Geometry and Topology University of Santiago de Compostela

Contents

Isoparametric hypersurfaces Isoparametric and homogeneous hypersurfaces

Isoparametric hypersurfaces The classification in space forms

Isoparametric hypersurfaces The classification in space forms

Isoparametric submanifolds Definition and the problem in real space forms

Isoparametric submanifolds Definition and the problem in real space forms

Isoparametric foliations on CP n The idea

Isoparametric foliations on CP n The idea

Isoparametric foliations on CP n Complex structures preserving a foliation

Isoparametric foliations on CP n Complex structures preserving a foliation

Isoparametric foliations on CP n Complex structures preserving a foliation

Isoparametric foliations on CP n Congruence of projected foliations

Isoparametric foliations on CP n Lowest weight diagrams and extended Vogan diagrams

Isoparametric foliations on CP n Lowest weight diagrams and extended Vogan diagrams

Isoparametric foliations on CP n Criterion for homogeneity. Inhomogeneous examples

Isoparametric foliations on CP n Criterion for homogeneity. Inhomogeneous examples

Thanks!

Isoparametric foliations on CP n Classification: projections of homogeneous polar foliations I

Isoparametric foliations on CP n Classification: projections of homogeneous polar foliations II

Isoparametric foliations on CP n Classification: projections of FKM-foliations I

Isoparametric foliations on CP n Classification: projections of FKM-foliations II