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math.DG2024
Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres
Spyros Alexakis, Zhongshan An, Ahmed Ellithy +1
We obtain existence and local uniqueness of asymptotically flat, static vacuum extensions for Bartnik data on a sphere near the data of a sphere of symmetry in a Schwarzschild mani…
math.DG2024
Local structure theory of Einstein manifolds with boundary
Zhongshan An, Lan-Hsuan Huang
We study local structure of the moduli space of compact Einstein metrics with respect to the boundary conformal metric and mean curvature. In dimension three, we confirm M. Anderso…