Local foliation of manifolds by surfaces of Willmore type

Autoren: Tobias Lamm, Jan Metzger, Felix Schulze (2018)

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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