Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions

2020/11/13 by Marie-Amélie Lawn, Lawn, Marie-Amelie, Ortega, Miguel · 1 citation
Mathematics · Physics and Astronomy · #53C21 #53C42 #53C44 #53C50 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2011.06915

openalex publication_date 2020/11/13 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We study new examples of translating solitons of the mean curvature flow, especially in Minkowski space. We consider for this purpose manifolds admitting submersions and cohomegeneity one actions by isometries on suitable open subsets. This general setting also covers the classical Euclidean examples. As an application, we completely classify timelike, invariant translating solitons by rotations and boosts in Minkowski space.

Cited by

• Existence proofs for rotationally symmetric translating solutions to mean curvature flow

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