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math.DG2021★ 2 cited
The positive mass theorem and distance estimates in the spin setting
Simone Cecchini, Rudolf Zeidler
Let be an asymptotically Euclidean end in an otherwise arbitrary complete and connected Riemannian spin manifold . We show that if has negative A…
math.DG2021★ 15 cited
Scalar and mean curvature comparison via the Dirac operator
Simone Cecchini, Rudolf Zeidler
We use the Dirac operator technique to establish sharp distance estimates for compact spin manifolds under lower bounds on the scalar curvature in the interior and on the mean curv…