On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
Qing, Jie ; Tian, Gang
arXiv, 0506005 / Harvested from arXiv
Text on arXiv
In this note we study constant mean curvature surfaces in asymptotically flat 3-manifolds. We prove that, in an asymptotically flat 3-manifold with positive mass, stable spheres of given constant mean curvature outside a fixed compact subset are unique. Therefore we are able to conclude that there is a unique foliation of stable spheres of constant mean curvature in an asymptotically flat 3-manifold with positive mass.
Publié le : 2005-05-31
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53C43, 58E20 
@article{0506005,
     author = {Qing, Jie and Tian, Gang},
     title = {On the uniqueness of the foliation of spheres of constant mean curvature
  in asymptotically flat 3-manifolds},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506005}
}

Qing, Jie; Tian, Gang. On the uniqueness of the foliation of spheres of constant mean curvature
  in asymptotically flat 3-manifolds. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506005/