Geodesic
On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
Qing, Jie1 ; Tian, Gang2
1 Department of Mathematics, University of California, Santa Cruz, Santa Cruz, California 95064
2 Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Journal of the American Mathematical Society, Tome 20 (2007) no. 4, pp. 1091-1110

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S0894-0347-07-00560-7

Qing, Jie 1 ; Tian, Gang 2

1 Department of Mathematics, University of California, Santa Cruz, Santa Cruz, California 95064
2 Department of Mathematics, Princeton University, Princeton, New Jersey 08544 
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Qing, Jie; Tian, Gang. On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds. Journal of the American Mathematical Society, Tome 20 (2007) no. 4, pp. 1091-1110. doi: 10.1090/S0894-0347-07-00560-7

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