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arXiv · 2603.17727

Bernstein-type Theorems for constant mean curvature surfaces in the three-dimensional light cone

Shintaro Akamine·Wonjoo Lee·Seong-Deog Yang
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Abstract

We establish Bernstein-type theorems for entire constant mean curvature graphs in the three-dimensional light cone $\mathbb{Q}^3_+$ over the horosphere under the assumption that the Gaussian curvature $K$ is bounded below, by showing that such graphs are horospheres or spheres of $\mathbb{Q}^3_+$.

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Shintaro Akamine, Wonjoo Lee, Seong-Deog Yang. 2026-03-18. Bernstein-type Theorems for constant mean curvature surfaces in the three-dimensional light cone. https://arxiv.org/abs/2603.17727

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