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math.DG2022★ 1 cited
Local space time constant mean curvature and constant expansion foliations
Jan Metzger, Alejandro Peñuela Diaz
Inspired by the small sphere-limit for quasi-local energy we study local foliations of surfaces with prescribed mean curvature. Following the strategy used by Ye in 1991 to study l…
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…