English

Jenkins-Serrin problem for translating horizontal graphs in $M \times\mathbb{R}$

Differential Geometry 2021-07-13 v2

Abstract

We prove the existence of horizontal Jenkins-Serrin graphs that are translating solitons of the mean curvature flow in Riemannian product manifolds M×RM\times\mathbb{R}. Moreover, we give examples of these graphs in the cases of R3\mathbb{R}^3 and H2×R\mathbb{H}^2\times\mathbb{R}.

Cite

@article{arxiv.1901.07224,
  title  = {Jenkins-Serrin problem for translating horizontal graphs in $M \times\mathbb{R}$},
  author = {Eddygledson S. Gama and Esko Heinonen and Jorge H. de Lira and Francisco Martin},
  journal= {arXiv preprint arXiv:1901.07224},
  year   = {2021}
}

Comments

To appear in Rev. Mat. Iberoam

R2 v1 2026-06-23T07:18:11.636Z