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math.DG2026
Bernstein-type Theorems for constant mean curvature surfaces in the three-dimensional light cone
Shintaro Akamine, Wonjoo Lee, Seong-Deog Yang
We establish Bernstein-type theorems for entire constant mean curvature graphs in the three-dimensional light cone over the horosphere under the assumption that th…
math.DG2026
Framed null curves and timelike surfaces via Lorentzian harmonic maps into de-Sitter 2-space
Shintaro Akamine, Hirotaka Kiyohara
We construct a class of Lorentzian harmonic maps into the de-Sitter -space satisfying the eigenvalue equation for the d'Alambert operator and a non-zero co…
math.DG2026
Singularities on timelike minimal surfaces in Lorentzian Heisenberg group
Shintaro Akamine, Hirotaka Kiyohara
Timelike minimal surfaces in the three-dimensional Lorentzian Heisenberg group are shown to be constructed from Lorentzian harmonic maps into the de-Sitter two-sphere, and they nat…