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math.DG2020
Reflection principle for lightlike line segments on maximal surfaces
Shintaro Akamine, Hiroki Fujino
As in the case of minimal surfaces in the Euclidean 3-space, the reflection principle for maximal surfaces in the Lorentz-Minkowski 3-space asserts that if a maximal surface has a…
math.DG2019
Duality of boundary value problems for minimal and maximal surfaces
Shintaro Akamine, Hiroki Fujino
In 1966, Jenkins and Serrin gave existence and uniqueness results for infinite boundary value problems of minimal surfaces in the Euclidean space, and after that such solutions hav…