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arXiv · 1510.06670

Long Time Existence of Non-Compact Inverse Mean Curvature Flow in Hyperbolic Space

Brian Allen
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Abstract

We investigate Inverse Mean Curvature Flow (IMCF) of non-compact hypersurfaces in hyperbolic space. Specifically, we look at bounded graphs over horospheres in $\mathbb{H}^{n+1}$ and show long time existence of the flow. Along the way many important local estimates as well as global estimates are obtained. In addition, we develop a useful family of cutoff functions for IMCF as well as a non-compact ODE maximum principle at infinity which are integral tools used throughout the document.

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Brian Allen. 2016-10-16. Long Time Existence of Non-Compact Inverse Mean Curvature Flow in Hyperbolic Space. https://arxiv.org/abs/1510.06670

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