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RESEARCH ＞
TALK ＞
講演アブストラクト
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Moment maps and isoparametric hypersurfaces in spheres --- Hermitian case
Mini International Workshop on Geometry of Symmetric Spaces and Related Fields,
Kyungpook National University (韓国),
2011/04/15.
This talk is based on a joint work with Shinobu Fujii.
Our expectation is that every isoparametrc hypersurface in spheres
with four distinct principal curvatures is related
to a moment map for a certain Hamiltonian action.
In this talk, we expain that our expectation is true
if the isoparametric hypersurfaces is obtained by the orbits
of the isotropy representations of Hermitian symmetric spaces of rank two.
We also mention some open problems.