Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions
Differential Geometry
2021-04-12 v2 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2011.06915,
title = {Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions},
author = {Marie-Amelie Lawn and Miguel Ortega},
journal= {arXiv preprint arXiv:2011.06915},
year = {2021}
}
Comments
24 pages, 3 figures