3 papers
math.DG2024
Singularities of generalized timelike minimal surfaces in Lorentz-Minkowski 3-space
Shintaro Akamine
A timelike minimal surface in Minkowski 3-space is a surface whose induced metric is Lorentzian and with vanishing mean curvature. Such surfaces have many kinds of singularities. I…
math.DG2023
Isometric and anti-isometric classes of timelike minimal surfaces in Lorentz-Minkowski space
Shintaro Akamine
Isometric class of minimal surfaces in the Euclidean 3-space has the rigidity: if two simply connected minimal surfaces are isometric, then one of them is congruent…
math.DG2022
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…