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

Author:

Gregório Silva Neto, Vanessa Silva

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), Classical Analysis and ODEs (math.CA)

journal:

Published in the Journal of Mathematical Analysis and Applications, Volume 528, Issue 2, 2023

date:

2023-08-21 16:00:00

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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