Foliations of asymptotically flat manifolds by surfaces of Willmore type
- The goal of this paper is to establish the existence of a foliation of the asymptotic region of an asymptotically flat manifold with positive mass by surfaces which are critical points of the Willmore functional subject to an area constraint. Equivalently these surfaces are critical points of the Geroch-Hawking mass. Thus our result has applications in the theory of general relativity.
| Author details: | Tobias Lamm, Jan Metzger, Felix Schulze |
|---|---|
| DOI: | https://doi.org/10.1007/s00208-010-0550-2 |
| ISSN: | 0025-5831 |
| Title of parent work (English): | Mathematische Annalen |
| Publisher: | Springer |
| Place of publishing: | New York |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2011 |
| Publication year: | 2011 |
| Release date: | 2017/03/26 |
| Volume: | 350 |
| Issue: | 1 |
| Number of pages: | 78 |
| First page: | 1 |
| Last Page: | 78 |
| Funding institution: | PIMS; Alexander von Humboldt Foundation |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
