@article{LammMetzger2013,
  author    = {Lamm, Tobias and Metzger, Jan},
  title     = {Minimizers of the willmore functional with a small area constraint},
  series = {ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE},
  volume    = {30},
  journal   = {ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE},
  number    = {3},
  publisher = {Elsevier},
  address   = {Paris},
  issn      = {0294-1449},
  doi       = {10.1016/j.anihpc.2012.10.003},
  pages     = {497 -- 518},
  year      = {2013},
  abstract  = {We show the existence of a smooth spherical surface minimizing the Willmore functional subject to an area constraint in a compact Riemannian three-manifold, provided the area is small enough. Moreover, we partially classify complete surfaces of Willmore type with positive mean curvature in Riemannian three-manifolds.},
  language  = {en}
}
@article{LammMetzgerSchulze2011,
  author    = {Lamm, Tobias and Metzger, Jan and Schulze, Felix},
  title     = {Foliations of asymptotically flat manifolds by surfaces of Willmore type},
  series = {Mathematische Annalen},
  volume    = {350},
  journal   = {Mathematische Annalen},
  number    = {1},
  publisher = {Springer},
  address   = {New York},
  issn      = {0025-5831},
  doi       = {10.1007/s00208-010-0550-2},
  pages     = {1 -- 78},
  year      = {2011},
  abstract  = {The goal of this paper is to establish the existence of a foliation of the asymptotic region of an asymptotically flat manifold with positive mass by surfaces which are critical points of the Willmore functional subject to an area constraint. Equivalently these surfaces are critical points of the Geroch-Hawking mass. Thus our result has applications in the theory of general relativity.},
  language  = {en}
}