Vanessa Silva — Neckpinchhttps://neckpinch.com/authors/vanessa-silva/New arXiv papers by Vanessa Silva, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-spacehttps://neckpinch.com/papers/2308.11679/arxiv:2308.11679Tue, 22 Aug 2023 00:00:00 GMTGregório Silva Neto, Vanessa Silva — In this paper, we classify the nondegenerate ruled surfaces in the three-dimensional Lorentz-Minkowski space that are homothetic self-similar solutions for the inverse mean curvature flow. This classification shows the existence of two classes of non-cylindrical homothetic solitons: one with lightlike rulings and another one with non-lightlike rulings.Mean curvature flowOther curvature flowsInverse mean curvature flow3-manifolds Ruled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski spacehttps://neckpinch.com/papers/2308.11457/arxiv:2308.11457Tue, 22 Aug 2023 00:00:00 GMTGregório Silva Neto, Vanessa Silva — In this paper, we classify the nondegenerate ruled surfaces in the three-dimensional Lorentz-Minkowski space that are translating solitons for the inverse mean curvature flow. In particular, we prove the existence of non-cylindrical ruled translating solitons, which contrast with the Euclidean setting.Mean curvature flowOther curvature flowsInverse mean curvature flowSelf-shrinkers & translators3-manifolds