https://neckpinch.com/authors/renivaldo-sodre-de-sena/New arXiv papers by Renivaldo Sodre de Sena, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2307.05088/arxiv:2307.05088Tue, 11 Jul 2023 00:00:00 GMTLuciano Mari, Jose Danuso Rocha de Oliveira, Andreas Savas-Halilaj, Renivaldo Sodre de Sena — In this paper we study conformal solitons for the mean curvature flow in hyperbolic space ℍⁿ⁺¹. Working in the upper half-space model, we focus on horo-expanders, which relate to the conformal field −∂₀. We classify cylindrical and rotationally symmetric examples, finding appropriate analogues of grim-reaper cylinders, bowl and winglike solitons. Moreover, we address the Plateau and the Dirichlet problems at infinity. For the latter, we provide the sharp boundary convexity condition to guarantee its solvability, and address the case of noncompact boundaries contained between two parallel hyperplanes of ∂_(∞)ℍⁿ⁺¹. We conclude by proving rigidity results for bowl and grim-reaper cylinders.Mean curvature flowRicci solitonsSelf-shrinkers & translatorsStability & uniquenessBoundaries & non-compactRotational symmetry & warped productsMinimal & CMC surfaces