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arXiv · 2308.11457

Ruled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski space

Gregório Silva Neto·Vanessa Silva
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Abstract

In this paper, we classify the nondegenerate ruled surfaces in the three-dimensional Lorentz-Minkowski space that are translating solitons for the inverse mean curvature flow. In particular, we prove the existence of non-cylindrical ruled translating solitons, which contrast with the Euclidean setting.

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Gregório Silva Neto, Vanessa Silva. 2023-08-22. Ruled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski space. https://doi.org/10.1016/j.jmaa.2023.127550

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