English

Non-existence for self-translating solitons

Differential Geometry 2014-11-11 v1

Abstract

This paper establishes geometric obstructions to the existence of complete, properly embedded, mean curvature flow self-translating solitons ΣnRn+1\Sigma^n\subseteq \mathbb{R}^{n+1}, generalizing previously known non-existence conditions such as cylindrical boundedness.

Keywords

Cite

@article{arxiv.1411.2319,
  title  = {Non-existence for self-translating solitons},
  author = {Niels Martin Møller},
  journal= {arXiv preprint arXiv:1411.2319},
  year   = {2014}
}

Comments

15 pages

R2 v1 2026-06-22T06:53:00.366Z