Jenkins-Serrin problem for horizontal translating graphs in $M \times\mathbb{R}$
Gama, Eddygledson S. ; Heinonen, Esko ; de Lira, Jorge H. ; Martin, Francisco
arXiv, Tome 2019 (2019) no. 0, / Harvested from
We prove the existence of horizontal Jenkins-Serrin graphs that are translating solitons of the mean curvature flow in Riemannian product manifolds $M\times\mathbb{R}$. Moreover, we give examples of these graphs in the cases of $\mathbb{R}^3$ and $\mathbb{H}^2\times\mathbb{R}$.
Publié le : 2019-01-22
Classification:  Mathematics - Differential Geometry 
@article{1901.07224,
     author = {Gama, Eddygledson S. and Heinonen, Esko and de Lira, Jorge H. and Martin, Francisco},
     title = {Jenkins-Serrin problem for horizontal translating graphs in $M
  \times\mathbb{R}$},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1901.07224}
}

Gama, Eddygledson S.; Heinonen, Esko; de Lira, Jorge H.; Martin, Francisco. Jenkins-Serrin problem for horizontal translating graphs in $M
  \times\mathbb{R}$. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1901.07224/