Ruled translating solitons in Minkowski 3-space
Differential Geometry
2021-09-14 v1
Abstract
We characterize all ruled translating solitons in Minkowski 3-space. In contrast to the Euclidean space, we find ruled translating solitons that are not cylindrical. These surfaces appear when the vector field that defines the rulings, viewed as a curve, is a lightlike straight line. We also classify all cylindrical translating solitons, obtaining surfaces that can be considered as analogous to the grim reapers of Euclidean space, but also other surfaces which have no a counterpart in the Euclidean space.
Keywords
Cite
@article{arxiv.2109.05254,
title = {Ruled translating solitons in Minkowski 3-space},
author = {Muhittin Evren Aydin and Rafael Lopez},
journal= {arXiv preprint arXiv:2109.05254},
year = {2021}
}
Comments
16 pages, 6 figures