Local foliation of manifolds by surfaces of willmore type
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.
| Zugehörige Institution(en) am KIT | Institut für Produktionstechnik (WBK) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2020 |
| Sprache | Englisch |
| Identifikator | ISSN: 0373-0956, 1777-5310 KITopen-ID: 1000134298 |
| Erschienen in | Annales de l’Institut Fourier |
| Verlag | Association des Annales de l'Institut Fourier |
| Band | 70 |
| Heft | 4 |
| Seiten | 1639-1662 |
| Nachgewiesen in | Dimensions Scopus |