A characterization of the grim reaper cylinder
Differential Geometry
2016-02-16 v2 Analysis of PDEs
Abstract
In this article we prove that a connected and properly embedded translating soliton in with uniformly bounded genus on compact sets which is -asymptotic to two planes outside a cylinder, either is flat or coincides with the grim reaper cylinder.
Cite
@article{arxiv.1508.01539,
title = {A characterization of the grim reaper cylinder},
author = {Francisco Martin and Jesus Perez-Garcia and Andreas Savas-Halilaj and Knut Smoczyk},
journal= {arXiv preprint arXiv:1508.01539},
year = {2016}
}
Comments
32 pages, 11 figures, original result improved, to appear in Journal f\"ur die reine und angewandte Mathematik