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arXiv · 1901.07224

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

Eddygledson S. Gama·Esko Heinonen·Jorge H. de Lira·Francisco Martin
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Abstract

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 $\mathbb{H}^2\times\mathbb{R}$.

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Eddygledson S. Gama, Esko Heinonen, Jorge H. de Lira, Francisco Martin. 2019-01-22. Jenkins-Serrin problem for translating horizontal graphs in $M \times\mathbb{R}$. https://doi.org/10.4171/rmi%2F1221

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