https://neckpinch.com/authors/marian-ioan-munteanu/New arXiv papers by Marian Ioan Munteanu, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2405.15957/arxiv:2405.15957Fri, 24 May 2024 00:00:00 GMTRafael López, Marian Ioan Munteanu — Translators in the special linear group SL(2,ℝ) are surfaces whose mean curvature H and unit normal vector N satisfy H=⟨ N,X⟩, where X is a fixed Killing vector field. In this paper we study and classify those translators that are invariant by a one-parameter group of isometries. By the Iwasawa decomposition, there are three types of such groups. The dimension of the Killing vector fields is 4 and an exhaustive discussion is done for each one of the Killing vector fields and each of the invariant surfaces. In some cases, explicit parametrizations of translators are obtained.Mean curvature flowSelf-shrinkers & translators https://neckpinch.com/papers/2402.14727/arxiv:2402.14727Thu, 22 Feb 2024 00:00:00 GMTRafael López, Marian Ioan Munteanu — A soliton of the mean curvature flow in the product space mathbbs²×ℝ as a surface whose mean curvature H satisfies the equation H=⟨ N,X⟩, where N is the unit normal of the surface and X is a Killing vector field. In this paper we consider the vector field tangent to the fibers and the vector field associated to a rotations about an axis of mathbbs², respectively. We give a classification of the solitons with respect to these vector fields assuming that the surface is invariant under a one-parameter group of vertical translations or under a group of rotations of mathbbs².Mean curvature flow