T. Koerber

activity

20242026

collaborators

Showing math.DGShow all

6 papers · 1 filter

math.DG2026

On the Minkowski inequality near the sphere

Otis Chodosh, Michael Eichmair, Thomas Koerber

We construct a sequence ${I^£_{ℓ}}_{ℓ = 1}^{\infty}$ of closed, axially symmetric surfaces $I^£_{ℓ} \subset R^{3}$ that converges to the unit sphere in $W^{2, p} \cap C^{1}$ for…

math.DG2026

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 $0$ or $I ¨ $ that are supported on a complete embedded minimal surface wi…

math.DG2025

Schoen's conjecture for limits of isoperimetric surfaces

Michael Eichmair, Thomas Koerber

Let $(M, g)$ be an $n$ -dimensional asymptotically flat Riemannian manifold with nonnegative scalar curvature that admits a noncompact area-minimizing hypersurface $I^£ \subset M$ . In…

math.DG2024

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…

math.DG2024

Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres

Michael Eichmair, Thomas Koerber

Let $(M, g)$ be an asymptotically flat Riemannian manifold of dimension $n \geq 3$ with positive mass. We give a short proof based on Lyapunov-Schmidt reduction of the existence of a…

math.DG2024

Inverse mean curvature flow and Ricci-pinched three-manifolds

Gerhard Huisken, Thomas Koerber

Let $(M, g)$ be a complete, connected, non-compact Riemannian three-manifold with non-negative Ricci curvature satisfying $R i c \geq ε tr (R i c) g$ for some $\…