6 citations · 23 across the 42 of their papers we have counts for
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math.DG2010★ 2 cited
A Cartan type identity for isoparametric hypersurfaces in symmetric spaces
Naoyuki Koike
In this paper, we obtain a Cartan type identity for curvature-adapted isoparametric hypersurfaces in symmetric spaces of compact type or non-compact type. This identity is a genera…
math.DG2010
On the indices of minimal orbits of Hermann actions
Naoyuki Koike
We give a formula to calculate the indices of special (non-totally geodesic) minimal orbits of Hermann actions. Also, we give examples of such minimal orbits of Hermann actions and…
math.DG2010
Collapse of the mean curvature flow for isoparametric submanifolds in non-compact symmetric spaces
Naoyuki Koike
It is known that principal orbits of Hermann actions on a symmetric space of non-compact type are curvature-adapted isoparametric submanifolds having no focal point of non-Euclidea…