26 citations · 31 across the 8 of their papers we have counts for
8 papers
Reflection principles for zero mean curvature surfaces in the simply isotropic 3-space
Shintaro Akamine, Hiroki Fujino
Zero mean curvature surfaces in the simply isotropic 3-space naturally appear as intermediate geometry between geometry of minimal surfaces in and tha…
Extension of Krust theorem and deformations of minimal surfaces
Shintaro Akamine, Hiroki Fujino
In the minimal surface theory, the Krust theorem asserts that if a minimal surface in the Euclidean 3-space is the graph of a function over a convex domain, then eac…
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…
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…
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.
Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra and 5D AGT correspondence
Yusuke Ohkubo, Hidetoshi Awata, Hiroki Fujino
In this paper, we consider the limit of the deformed Virasoro algebra and that of the level 1, 2 representation of Ding-Iohara-Miki algebra. Moreover, 5D AGT corr…
The existence of quasiconformal homeomorphism between planes with countable marked points
Hiroki Fujino
We consider quasiconformal deformations of . We give some criteria for infinitely often punctured planes to be quasiconformally equivalent to $\mathb…
On quasiconformal equivalence between certain infinitely often punctured planes
H. Fujino
A closed discrete subset is called tame if is quasiconformally equivalent to . By giving several crite…