S. Akamine

most citedBernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space

3 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2019★ 3 cited

Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space

Shintaro Akamine, Atsufumi Honda, Masaaki Umehara +1

Calabi and Cheng-Yau's Bernstein-type theorem asserts that an entire zero mean curvature graph in Lorentz-Minkowski $(n + 1)$ -space $R_{1}^{n + 1}$ which admits only space-li…

math.DG2019★ 1 cited

Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space

Shintaro Akamine, Masaaki Umehara, Kotaro Yamada

Consider a surface $S$ immersed in the Lorentz-Minkowski 3-space $R_{1}^{3}$ . A complete light-like line in $R_{1}^{3}$ is called an entire null line on the surface…

math.DG2017★ 1 cited

Wick rotations of solutions to the minimal surface equation, the zero mean curvature equation and the Born-Infeld equation

Shintaro Akamine, Rahul Kumar Singh

In this paper we investigate relations between solutions to the minimal surface equation in Euclidean $3$ -space $E^{3}$ , the zero mean curvature equation in Lorentz-Minkowsk…