5 citations · 9 across the 3 of their papers we have counts for
3 papers
math.DG2019★ 4 cited
Non-uniqueness of closed embedded non-smooth hypersurfaces with constant anisotropic mean curvature
Yoshiki Jikumaru, Miyuki Koiso
An anisotropic surface energy is the integral of an energy density that depends on the normal at each point over the considered surface, and it is a generalization of surface area.…
math.DG2019★ 5 cited
Uniqueness of stable closed non-smooth hypersurfaces with constant anisotropic mean curvature
Miyuki Koiso
We study a variational problem for piecewise-smooth hypersurfaces in the (n+1)-dimensional Euclidean space with an anisotropic energy. An anisotropic energy is the integral of an e…
math.DG2009
Anisotropic umbilic points and Hopf's Theorem for surfaces with constant anisotropic mean curvature
Miyuki Koiso, Bennett Palmer
We show that for elliptic parametric functionals whose Wulff shape is smooth and has strictly positive curvature, any surface with constant anisotropic mean curvature which is a to…