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

Author:

Akamine ShintaroORCID,Singh Rahul Kumar

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference25 articles.

1. Akamine S, Causal characters of zero mean curvature surfaces of Riemann type in Lorentz-Minkowski 3-space, Kyushu J. Math. 71 (2017) 211–249

2. Akamine S, Behavior of the Gaussian curvature of timelike minimal surfaces with singularities, to appear in Hokkaido Math. J, arXiv:1701.00238

3. Born M and Infeld L, Foundations of the New Field Theory, Proc. R. Soc. London Ser. A. 144 852 (1934) 425–451

4. Calabi E, Examples of Bernstein problems for some nonlinear equations, in Global Analysis (Proc. Sympos. Pure Math., Vol. XV, Berkeley, CA, 1968), Amer. Math. Soc., Providence, RI (1970) pp. 223–230

5. Clelland J N, Totally quasi-umbilic timelike surfaces in $${\mathbb{R}}^{1,2}$$, Asian J. Math. 16 (2012) 189–208

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