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math.DG2022
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…
math.DG2022★ 1 cited
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…
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…