TY  - JOUR
A1  - Lamm, Tobias
A1  - Metzger, Jan
A1  - Schulze, Felix
T1  - Foliations of asymptotically flat manifolds by surfaces of Willmore type
JF  - Mathematische Annalen
N2  - 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.
Y1  - 2011
U6  - https://doi.org/10.1007/s00208-010-0550-2
SN  - 0025-5831
VL  - 350
IS  - 1
SP  - 1
EP  - 78
PB  - Springer
CY  - New York
ER  -