M. Eichmair

activity

20072026

most citedEffective versions of the positive mass theorem

53 citations · 267 across the 30 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.DG2022★ 2 cited

Proof of the Michael-Simon-Sobolev inequality using optimal transport

S. Brendle, M. Eichmair

We give an alternative proof of the Michael-Simon-Sobolev inequality using techniques from optimal transport. The inequality is sharp for submanifolds of codimension $2$ .

math.DG2022

Huisken-Yau-type uniqueness for area-constrained Willmore spheres

Michael Eichmair, Thomas Koerber, Jan Metzger +1

Let $(M, g)$ be a Riemannian $3$ -manifold that is asymptotic to Schwarzschild. We study the existence of large area-constrained Willmore spheres $Σ \subset M$ with non-negative Hawki…

math.DG2022★ 1 cited

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.DG2022★ 3 cited

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…