Tarcios Andrey Ferreira — Neckpinchhttps://neckpinch.com/authors/tarcios-andrey-ferreira/New arXiv papers by Tarcios Andrey Ferreira, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Classification of Minimal Surfaces and Solitons to the Mean Curvature Flow in ℍ³ as Translation Surfaceshttps://neckpinch.com/papers/2511.21545/arxiv:2511.21545Wed, 26 Nov 2025 00:00:00 GMTTarcios Andrey Ferreira, João Paulo dos Santos — 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 α and β 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.Mean curvature flowSelf-shrinkers & translatorsSurfacesHomogeneous spacesMinimal & CMC surfaces