English

A Weierstrass type representation for translating solitons and singular minimal surfaces

Differential Geometry 2022-01-05 v1

Abstract

In this paper we provide a Weierstrass representation formula for translating solitons and singular minimal surfaces in R3{\mathbb{R}^3}. As application we study when the euclidean Gauss map has a harmonic argument and solve a general Cauchy problem in this class of surfaces.

Keywords

Cite

@article{arxiv.2201.01192,
  title  = {A Weierstrass type representation for translating solitons and singular minimal surfaces},
  author = {Antonio Martínez and A. L. Martínez-Triviño},
  journal= {arXiv preprint arXiv:2201.01192},
  year   = {2022}
}

Comments

14 pages

R2 v1 2026-06-24T08:39:55.396Z