On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds

• Autores: Jie Qing, Gang Tian
• Localización: Journal of the American Mathematical Society, ISSN 0894-0347, Vol. 20, Nº 4, 2007, págs. 1091-1110
• Idioma: inglés
• DOI: 10.1090/s0894-0347-07-00560-7
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.