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arXiv · 1806.00465

Local foliation of manifolds by surfaces of Willmore type

Tobias Lamm·Jan Metzger·Felix Schulze
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Abstract

We show the existence of a local foliation of a three dimensional Riemannian manifold by critical points of the Willmore functional subject to a small area constraint around non-degenerate critical points of the scalar curvature. This adapts a method developed by Rugang Ye to construct foliations by surfaces of constant mean curvature.

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Tobias Lamm, Jan Metzger, Felix Schulze. 2018-06-01. Local foliation of manifolds by surfaces of Willmore type. https://arxiv.org/abs/1806.00465

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