Foliations by Stable Spheres with Constant Mean Curvature for Isolated Systems with General Asymptotics

Details Foliations by Stable Spheres with Constant Mean Curvature for Isolated Systems with General Asymptotics Foliations by Stable Spheres with Constant Mean Curvature for Isolated Systems with General Asymptotics

2008-10-28

arxiv.org/abs/0810.5086v2

Mathematics

Differential Geometry

45 pages. Some revisions in exposition and typos corrected; to appear in Comm. Math. Phys.

Scientific paper

We prove the existence and uniqueness of constant mean curvature foliations for initial data sets which are asymptotically flat satisfying the Regge-Teitelboim condition near infinity. It is known that the (Hamiltonian) center of mass is well-defined for manifolds satisfying this condition. We also show that the foliation is asymptotically concentric, and its geometric center is the center of mass. The construction of the foliation generalizes the results of Huisken-Yau, Ye, and Metzger, where strongly asymptotically flat manifolds and their small perturbations were studied.

Affiliated with

Also associated with

No associations

Rating

Foliations by Stable Spheres with Constant Mean Curvature for Isolated Systems with General Asymptotics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Foliations by Stable Spheres with Constant Mean Curvature for Isolated Systems with General Asymptotics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Foliations by Stable Spheres with Constant Mean Curvature for Isolated Systems with General Asymptotics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-486177