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

Authors :
Neto, Gregório Silva
Silva, Vanessa
Source :
Published in the Journal of Mathematical Analysis and Applications, Volume 528, Issue 2, 2023
Publication Year :
2023

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.<br />Comment: 22 pages, 4 figures. Final version

Details

Database :
arXiv
Journal :
Published in the Journal of Mathematical Analysis and Applications, Volume 528, Issue 2, 2023
Publication Type :
Report
Accession number :
edsarx.2308.11457
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.jmaa.2023.127550