Lamm, T;
Metzger, J;
Schulze, F;
(2020)
Local foliation of manifolds by surfaces of Willmore type.
Annales de l'Institut Fourier
, 70
(4)
pp. 1639-1662.
10.5802/aif.3375.
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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.
| Type: | Article |
|---|---|
| Title: | Local foliation of manifolds by surfaces of Willmore type |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.5802/aif.3375 |
| Publisher version: | https://doi.org/10.5802/aif.3375 |
| Language: | English |
| Additional information: | © Association des Annales de l’institut Fourier, 2020, Certains droits réservés. Cet article est mis à disposition selon les termes de la licence Creative Commons attribution – pas de modification 3.0 France. http://creativecommons.org/licenses/by-nd/3.0/fr/ |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10071769 |
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