6 citations · 23 across the 42 of their papers we have counts for
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math.DG2017
Classification of isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type
Naoyuki Koike
In this paper, we assume that all isoparametric submanifolds have flat section. The main purpose of this paper is to prove that, if a full irreducible complete isoparametric subman…
math.DG2017
Mean curvature flow for pinched submanifolds in rank one symmetric spaces
Naoyuki Koike, Yoshiyuki Mizumura, Nana Uenoyama
G. Pipoli and C. Sinestrari considered the mean curvature flow starting from a closed submanifold in the complex projective space. They proved that if the submanifold is of small c…
math.DG2017
Gauss maps of the Ricci-mean curvature flow
Naoyuki Koike, Hikaru Yamamoto
In this paper, we investigate the Gauss maps of a Ricci-mean curvature flow. A Ricci-mean curvature flow is a coupled equation of a mean curvature flow and a Ricci flow on the ambi…