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

Simple item page
dc.creatorQing, Jie
dc.creatorTian, Gang
dc.date2005-06-01
dc.date2005-08-11
dc.date.accessioned2026-07-07T05:20:25Z
dc.date.available2026-07-07T05:20:25Z
dc.descriptionIn 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.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0506005
dc.identifierhttp://arxiv.org/abs/math/0506005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75375
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C43, 58E20
dc.titleOn the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
dc.typetext

Files

Collections

arXiv