3 papers
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…
math.MG2016
Quasisymmetric embedding of the integer set and its quasiconformal extension
Hiroki Fujino
We prove that an injection from the integer set into the real line admits a quasiconformal extension to the complex plane if and only if it is quasisymmetric.