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Local foliation of manifolds by surfaces of Willmore type
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Lamm, Tobias, Metzger, Jan and Schulze, Felix (2021) Local foliation of manifolds by surfaces of Willmore type. Annales de l'Institut Fourier, 70 (4). pp. 1639-1662. doi:10.5802/aif.3375 ISSN 1777-5310.
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Official URL: https://doi.org/10.5802/aif.3375
Abstract
Nour let us prove the existence of a local foliation of a three-dimensional Riemanian manifold around the critical points of the scalar curvature by the non-degenerate critical points of the Willmore functional under the constraint of small area. We adapt a method developed by Rugang Ye to construct a lamination by surfaces with constant mean curvature.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Foliations (Mathematics), Transformations (Mathematics), Geometry, Algebraic | |||||||||
| Journal or Publication Title: | Annales de l'Institut Fourier | |||||||||
| Publisher: | Association des Annales de l'Institut Fourier | |||||||||
| ISSN: | 1777-5310 | |||||||||
| Official Date: | 15 April 2021 | |||||||||
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| Volume: | 70 | |||||||||
| Number: | 4 | |||||||||
| Page Range: | pp. 1639-1662 | |||||||||
| DOI: | 10.5802/aif.3375 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Reuse Statement (publisher, data, author rights): | Lamm, Tobias; Metzger, Jan; Schulze, Felix. Local foliation of manifolds by surfaces of Willmore type. Annales de l'Institut Fourier, to appear, 24 p. | |||||||||
| Access rights to Published version: | Open Access (Creative Commons) | |||||||||
| Date of first compliant deposit: | 17 December 2021 | |||||||||
| Date of first compliant Open Access: | 17 December 2021 | |||||||||
| RIOXX Funder/Project Grant: |
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