Translating graphs by Mean curvature flow in $\M^n\times\Real$

Maria Calle; Leili Shahriyari

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arXiv · 1109.5659

Translating graphs by Mean curvature flow in $\M^n\times\Real$

Maria Calle·Leili Shahriyari

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Abstract

In this work, we study graphs in $\M^n\times\Real$ that are evolving by the mean curvature flow over a bounded domain on $\M^n$, with prescribed contact angle in the boundary. We prove that solutions converge to translating surfaces in $\M^n\times\Real$. Also, for a Riemannian manifold $\M^2$ with negative Gaussian curvature at each point, we show non-existence of complete vertically translating graphs in $\M^2\times\Real$.

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BibTeX RIS

Maria Calle, Leili Shahriyari. 2014-06-04. Translating graphs by Mean curvature flow in $\M^n\times\Real$. https://arxiv.org/abs/1109.5659

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