real hypersurfaces with constant principal curvatures in complex projective and hyperbolic spaces
DESCRIPTION
Workshop on Hypersurface Geometry and Integrable Systems Sendai 2010. 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 Topology - PowerPoint PPT PresentationTRANSCRIPT
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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
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Contents
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Introduction Homogeneous hypersurfaces vs. hypersurfaceswith constant principal curvatures
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Introduction The problem in space forms
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Introduction The problem in complex space forms
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Introduction
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The problem in complex space forms
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as a symmetric space Root space and Iwasawa decompositions
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as a symmetric space The submanifolds W2n-k
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Main Theorem
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Main Theorem Idea of the proof
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Main Theorem
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Contents
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Main Theorem Idea of the proof