5 citations · 23 across the 11 of their papers we have counts for
11 papers
Isometric deformations of pillow boxes
Atsufumi Honda, Miyuki Koiso
Pillow boxes are surfaces used for gift boxes, packaging, and even architectural applications. By definition, a pillow box is isometric to a double rectangle consisting of two copi…
Stability of hypersurfaces of constant mean curvature with free boundary in two parallel hyperplanes
Miyuki Koiso, Umpei Miyamoto
Surfaces with constant mean curvature (CMC) are critical points of the area with volume constraint. They serve as a mathematical model of surfaces of soap bubbles and tiny liquid d…
Heinz-type mean curvature estimates in Lorentz-Minkowski space
Atsufumi Honda, Yu Kawakami, Miyuki Koiso +1
We provide a unified description of Heinz-type mean curvature estimates under an assumption on the gradient bound for space-like graphs and time-like graphs in the Lorentz-Minkowsk…
Stability of hypersurfaces with constant mean curvature trapped between two parallel hyperplanes
Miyuki Koiso, Umpei Miyamoto
Static equilibrium configurations of continua supported by surface tension are given by constant mean curvature (CMC) surfaces which are critical points of a variational problem to…
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.…
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…
Fold singularities on spacelike CMC surfaces in Lorentz-Minkowski space
Atsufumi Honda, Miyuki Koiso, Kentaro Saji
Fold singular points play important roles in the theory of maximal surfaces. For example, if a maximal surface admits fold singular points, it can be extended to a timelike minimal…
Mixed type surfaces with bounded mean curvature in 3-dimensional space-times
Atsufumi Honda, Miyuki Koiso, Masatoshi Kokubu +2
In this paper, we shall prove that space-like surfaces with bounded mean curvature functions in real analytic Lorentzian 3-manifolds can change their causality to time-like surface…
On bifurcation and local rigidity of triply periodic minimal surfaces in
Miyuki Koiso, Paolo Piccione, Toshihiro Shoda
We use bifurcation theory to determine the existence of infinitely many new examples of triply periodic minimal surfaces in . These new examples form branches issuing…
Stable capillary hypersurfaces in a wedge
Jaigyoung Choe, Miyuki Koiso
Let be a compact immersed stable capillary hypersurface in a wedge bounded by two hyperplanes in . Suppose that meets those two hyperplanes in constant con…
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…