https://neckpinch.com/authors/adriana-araujo-cintra/New arXiv papers by Adriana Araujo Cintra, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1904.12015/arxiv:1904.12015Fri, 26 Apr 2019 00:00:00 GMTBenedito Leandro, Adriana Araujo Cintra, Hiuri Fellipe dos Santos Reis — The aim of this paper is to investigate the mean curvature flow soliton solutions on the Heisenberg group 𝓗 when the initial data is a ruled surface by straight lines. We give a family of those solutions which are generated by Iso₀(𝓗) (the isometries of 𝓗 for which the origin is a fix point). We conclude that the function which describe the motion of these surfaces under MCF, is always a linear affine function. As an application we proof that the Grim Reaper solution evolves from a ruled surface in 𝓗. We also provide other examples.Mean curvature flowSelf-shrinkers & translators