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arXiv · 1610.05844

A Curvature Flow and Applications to an Isoperimetric Inequality

Dylan Cant
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Abstract

Long time existence and convergence to a circle is proved for radial graph solutions to a mean curvature type curve flow in warped product surfaces (under a weak assumption on the warp potential of the surface). This curvature flow preserves the area enclosed by the evolving curve, and this fact is used to prove a general isoperimetric inequality applicable to radial graphs in warped product surfaces under weak assumptions on the warp potential.

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Dylan Cant. 2016-10-19. A Curvature Flow and Applications to an Isoperimetric Inequality. https://arxiv.org/abs/1610.05844

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