76 citations · 279 across the 20 of their papers we have counts for
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math.DG2012
Jenkins-Serrin type results for the Jang equation
Michael Eichmair, Jan Metzger
Let (M, g, k) be an initial data set for the Einstein equations of general relativity. We prove that there exist solutions of the Plateau problem for marginally outer trapped surfa…
math.DG2012★ 44 cited
Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions
Michael Eichmair, Jan Metzger
We describe explicitly the large volume isoperimetric regions of a natural class of asymptotically flat manifolds, in any dimension. These isoperimetric regions detect the mass and…
math.DG2012★ 11 cited
Minimizers of the Willmore functional with a small area constraint
Tobias Lamm, Jan Metzger
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 sm…