Corpus ID: 117506043

On large volume preserving stable constant mean curvature surfaces in asymptotically flat manifolds

@inproceedings{Eichmair2011OnLV,
  title={On large volume preserving stable constant mean curvature surfaces in asymptotically flat manifolds},
  author={Michael Eichmair and J. H. Metzger},
  year={2011}
}
  • Michael Eichmair, J. H. Metzger
  • Published 2011
  • Mathematics
  • Let (M,g) be a complete 3-dimensional asymptotically flat manifold with everywhere positive scalar curvature. We prove that, given a compact subset K of M, all volume preserving stable constant mean curvature surfaces of sufficiently large area will avoid K. This complements the work of G. Huisken and S.-T. Yau and J. Qing and G. Tian whose results show that large spherical volume preserving stable constant mean curvature spheres that omit a large compact subset of an asymptotically flat… CONTINUE READING

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