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math.DG2021★ 1 cited
Stability of the positive mass theorem under Ricci curvature lower bounds
Demetre Kazaras, Marcus Khuri, Dan Lee
We establish Gromov-Hausdorff stability of the Riemannian positive mass theorem under the assumption of a Ricci curvature lower bound. More precisely, consider a class of orientabl…
math.DG2021★ 6 cited
Spacetime Harmonic Functions and Applications to Mass
Hubert Bray, Sven Hirsch, Demetre Kazaras +2
In the pioneering work of Stern, level sets of harmonic functions have been shown to be an effective tool in the study of scalar curvature in dimension 3. Generalizations of this i…