7 citations · 19 across the 13 of their papers we have counts for
15 papers
Weakly stable solutions of Serrin's problem
Michael Eichmair, Thomas Koerber
We prove that weakly stable solutions of Serrin's problem are compact and therefore round balls.
Tangential limits of stable minimal capillary surfaces
Michael Eichmair, Thomas Koerber
We characterize all compact embedded stable minimal capillary surfaces with capillary angle close to either or that are supported on a complete embedded minimal surface wit…
The Penrose inequality in extrinsic geometry
Michael Eichmair, Thomas Koerber
The Riemannian Penrose inequality is a fundamental result in mathematical relativity. It has been a long-standing conjecture of G. Huisken that an analogous result should hold in t…
On the Minkowski inequality near the sphere
Otis Chodosh, Michael Eichmair, Thomas Koerber
We construct a sequence of closed, axially symmetric surfaces that converges to the unit sphere in for e…
Inverse mean curvature flow and Ricci-pinched three-manifolds
Gerhard Huisken, Thomas Koerber
Let be a complete, connected, non-compact Riemannian three-manifold with non-negative Ricci curvature satisfying for some $\…
Schoen's conjecture for limits of isoperimetric surfaces
Michael Eichmair, Thomas Koerber
Let be an -dimensional asymptotically flat Riemannian manifold with nonnegative scalar curvature that admits a noncompact area-minimizing hypersurface . In t…
Doubling of asymptotically flat half-spaces and the Riemannian Penrose inequality
Michael Eichmair, Thomas Koerber
Building on previous works of H. L. Bray, of P. Miao, and of S. Almaraz, E. Barbosa, and L. L. de Lima, we develop a doubling procedure for asymptotically flat half-spaces …
Huisken-Yau-type uniqueness for area-constrained Willmore spheres
Michael Eichmair, Thomas Koerber, Jan Metzger +1
Let be a Riemannian -manifold that is asymptotic to Schwarzschild. We study the existence of large area-constrained Willmore spheres with non-negative Hawki…
Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres
Michael Eichmair, Thomas Koerber
Let be an asymptotically flat Riemannian manifold of dimension with positive mass. We give a short proof based on Lyapunov-Schmidt reduction of the existence of a…
The Willmore center of mass of initial data sets
Michael Eichmair, Thomas Koerber
We refine the Lyapunov-Schmidt analysis developed in our recent paper arxiv:2101.12665 to study the geometric center of mass of the asymptotic foliation by area-constrained Willmor…
Large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds
Michael Eichmair, Thomas Koerber
We apply the method of Lyapunov-Schmidt reduction to study large area-constrained Willmore surfaces in Riemannian 3-manifolds asymptotic to Schwarzschild. In particular, we prove t…
The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary
Thomas Koerber
In this article, we prove the Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary whose asymptotic region is modelled on a half-space. Such sp…
A free boundary isometric embedding problem in the unit ball
Thomas Koerber
In this article, we study a free boundary isometric embedding problem for abstract Riemannian two-manifolds with the topology of the disc. Under the assumption of positive Gauss cu…
Sharp Estimates for the Principal Eigenvalue of the p-Operator
Thomas Koerber
Given an elliptic diffusion operator defined on a compact and connected manifold (possibly with a convex boundary in a suitable sense) with an -invariant measure , we int…
The area preserving Willmore flow and local maximizers of the Hawking mass in asymptotically Schwarzschild manifolds
Thomas Koerber
We study the area preserving Willmore flow in an asymptotic region of an asymptotically flat manifold which is close to Schwarzschild. It was shown by Lamm, Metzger and Sch…