On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
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- by Jie Qing and Gang Tian
- J. Amer. Math. Soc. 20 (2007), 1091-1110
- DOI: https://doi.org/10.1090/S0894-0347-07-00560-7
- Published electronically: March 9, 2007
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Abstract:
In this note we study constant mean curvature surfaces in asymptotically flat 3-manifolds. We prove that, outside a given compact subset in an asymptotically flat 3-manifold with positive mass, stable spheres of given constant mean curvature are unique. Therefore we are able to conclude that the foliation of stable spheres of constant mean curvature in an asymptotically flat 3-manifold with positive mass outside a given compact subset is unique.References
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Bibliographic Information
- Jie Qing
- Affiliation: Department of Mathematics, University of California, Santa Cruz, Santa Cruz, California 95064
- MR Author ID: 268101
- Email: qing@ucsc.edu
- Gang Tian
- Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
- MR Author ID: 220655
- Email: tian@math.princeton.edu
- Received by editor(s): September 24, 2005
- Published electronically: March 9, 2007
- Additional Notes: The first author was partially supported by DMS 0402294
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: J. Amer. Math. Soc. 20 (2007), 1091-1110
- MSC (2000): Primary 53C20; Secondary 58E20, 83C99
- DOI: https://doi.org/10.1090/S0894-0347-07-00560-7
- MathSciNet review: 2328717