10 citations · 45 across the 27 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.DG2015★ 3 cited
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…
math.DG2015★ 2 cited
Isometric immersions with singularities between space forms of the same positive curvature
Atsufumi Honda
In this paper, we give a definition of coherent tangent bundles of space form type, which is a generalized notion of space forms. Then, we classify their realizations in the sphere…
math.DG2015★ 2 cited
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…