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arXiv · 1604.05743

General curvature flow without singularities

Ling Xiao
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Abstract

In [5], S\'aez and Schn\"urer studied the graphical mean curvature flow of complete hypersurfaces defined on subsets of Euclidean space. They obtained long time existence. Moreover, they provided a new interpretation of weak mean curvature flow. In this paper, we generalize their results to a general curvature setting. Our key ingredient is the existence result of general curvature flow with boundary conditions, which is proved in Section 4.

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Ling Xiao. 2016-04-19. General curvature flow without singularities. https://arxiv.org/abs/1604.05743

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