3 papers
math.DG2019
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…
math.AP2019
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…
math.DG2018
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…