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  Foliations of asymptotically flat manifolds by surfaces of Willmore type

Lamm, T., Metzger, J., & Schulze, F. (2011). Foliations of asymptotically flat manifolds by surfaces of Willmore type. Mathematische Annalen, 350(1), 1-78. doi:10.1007/s00208-010-0550-2.

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0903.1277 (Preprint), 464KB
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 Creators:
Lamm, Tobias1, Author
Metzger, Jan1, Author
Schulze, Felix, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012              

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Free keywords: Mathematics, Differential Geometry, math.DG,Mathematics, Analysis of PDEs, math.AP
 Abstract: The goal of this paper is to establish the existence of a foliation of the asymptotic region of an asymptotically flat manifold with nonzero 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.

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 Dates: 2009-03-062011
 Publication Status: Issued
 Pages: 74 pages
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Title: Mathematische Annalen
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 350 (1) Sequence Number: - Start / End Page: 1 - 78 Identifier: ISSN: 0025-5831
CoNE: https://pure.mpg.de/cone/journals/resource/954925422134