S. Akamine

collaborators

4 papers

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 $Q_{+}^{3}$ 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 $2$ -space satisfying the eigenvalue equation $□ N = 2 H^{2} N$ 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…

math.DG2025

Bernstein-type theorem for constant mean curvature surfaces in the isotropic 3-space

Shintaro Akamine, Wonjoo Lee, Seong-Deog Yang

There are many non-trivial entire spacelike graphs with constant mean curvature $H$ (CMC $H$ , for short) in the isotropic 3-space $I^{3}$ . In this paper, we show a value dis…