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Showing 2015 · math.DGShow all
3 papers · 2 filters
math.DG2015★ 4 cited
Zero mean curvature entire graphs of mixed type in Lorentz-Minkowski 3-space
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +3
It is classically known that the only zero mean curvature entire graphs in the Euclidean 3-space are planes, by Bernstein's theorem. A surface in Lorentz-Minkowski 3-space $\boldsy…
math.DG2015★ 3 cited
Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space
Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +3
The Jorge-Meeks -noid () is a complete minimal surface of genus zero with catenoidal ends in the Euclidean 3-space , which has -rotation sy…
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…