The inverse Willmore flow

Martin Mayer

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arXiv · 1508.07800

The inverse Willmore flow

Martin Mayer

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Abstract

Instead of investigating the Willmore flow for two-dimensional, closed immersed surfaces directly we turn to its inversion. We give a lower bound on the lifespan of this inverse Willmore flow, depending on the concentration of curvature in space and the extension of the initial surface, as well as a characterization of its breakdown, which might occur in finite time.

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Martin Mayer. 2015-09-01. The inverse Willmore flow. https://arxiv.org/abs/1508.07800

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