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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 -space , the zero mean curvature equation in Lorentz-Minkowsk…
math.DG2017★ 6 cited
Behavior of the Gaussian curvature of timelike minimal surfaces with singularities
Shintaro Akamine
In the 3-dimensional Lorentz-Minkowski space we prove that the sign of the Gaussian curvature of any timelike minimal surface is determined by the degeneracy and the orientations o…