6 citations · 23 across the 42 of their papers we have counts for
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math.DG2018
Regularized mean curvature flow for invariant hypersurfaces in a Hilbert space and its application to gauge theory
Naoyuki Koike
In this paper, we investigate a regularized mean curvature flow starting from an invariant hypersurface in a Hilbert space equipped with an isometric and almost free action of a Hi…
math.DG2018
Gromov-Hausdorff-like distance function defined in the aspect of Riemannian submanifold theory
Naoyuki Koike
In this paper, we discuss how a Gromov-Hausdorff-like distance function over the space of all isometric classes of compact -Riemannian manifolds should be defined in the aspec…
math.DG2018
Pseudo-hyperbolic Gauss maps of Lorentzian surfaces in anti-de Sitter space
Honoka Kobayashi, Naoyuki Koike
In this paper, we determine the type numbers of the pseudo-hyperbolic Gauss maps of all oriented Lorentzian surfaces of constant mean and Gaussian curvatures and non-diagonalizable…