Homogeneous isoparametric hypersurfaces in spheres with four distinct principal curvatures and moment maps

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概要

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• We study relations between moment maps of Hamiltonian actions and isoparametric hypersurfaces in spheres with four distinct principal curvatures. In this paper, we deal with the isoparametric hypersurfaces given by the isotropy representations of compact irreducible Hermitian symmetric spaces of classical type and of rank two. We show that such isoparametric hypersurfaces can be obtained by moment maps. More precisely, certain squared-norms of moment maps coincide with Cartan-Munzner polynomials, which are defining-equations, of above isoparametric hypersurfaces.

著者

• Fujii Shinobu

  Department of Mathematics, Hiroshima University

• Fujii Shinobu

  Department Of Mathematics Hiroshima University

• Fujii Shinobu

  Department Of Dermatology Osaka Red Cross Hospital

関連論文

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