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arXiv · 2011.06915

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

Marie-Amelie Lawn·Miguel Ortega
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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.

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Marie-Amelie Lawn, Miguel Ortega. 2020-11-13. Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions. https://arxiv.org/abs/2011.06915

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