Homogeneous isoparametric hypersurfaces in spheres with four distinct principal curvatures and moment maps
Fujii, Shinobu
Tohoku Math. J. (2), Tome 62 (2010) no. 1, p. 191-213 / Harvested from Project Euclid
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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-Münzner polynomials, which are defining-equations, of above isoparametric hypersurfaces.
Publié le : 2010-05-15
Classification:  Isoparametric hypersurfaces,  moment maps,  53A07,  37J15 
@article{1277298645,
     author = {Fujii, Shinobu},
     title = {Homogeneous isoparametric hypersurfaces in spheres with four distinct principal
				curvatures and moment maps},
     journal = {Tohoku Math. J. (2)},
     volume = {62},
     number = {1},
     year = {2010},
     pages = { 191-213},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277298645}
}

Fujii, Shinobu. Homogeneous isoparametric hypersurfaces in spheres with four distinct principal
				curvatures and moment maps. Tohoku Math. J. (2), Tome 62 (2010) no. 1, pp.  191-213. http://gdmltest.u-ga.fr/item/1277298645/