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Classification of Minimal Surfaces and Solitons to the Me...
[Submitted on 26 Nov 2025 (v1), last revised 16 Jun 2026 (this v · 2026-06-17 · via math updates on arXiv.org

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Abstract:We consider the hyperbolic three-space in the half-space model endowed with a metric Lie group structure. In this setting, translation surfaces are defined as products of two curves $\alpha$ and $\beta$ with respect to the Lie group operation. We investigate minimal surfaces and solitons to the mean curvature flow arising from specific types of products of these curves. In particular, we provide classification results for minimal surfaces, hyperbolic translators, and conformal solitons to the mean curvature flow.

Submission history

From: Tarcios Ferreira [view email]
[v1] Wed, 26 Nov 2025 16:17:36 UTC (104 KB)
[v2] Sun, 14 Jun 2026 15:22:24 UTC (111 KB)
[v3] Tue, 16 Jun 2026 12:34:56 UTC (111 KB)