15 citations · 38 across the 10 of their papers we have counts for
8 papers · 1 filter
Positive mass theorems for spin initial data sets with arbitrary ends and dominant energy shields
Simone Cecchini, Martin Lesourd, Rudolf Zeidler
We prove a positive mass theorem for spin initial data sets that contain an asymptotically flat end and a shield of dominant energy (a subset of on which the dominant…
Lipschitz rigidity for scalar curvature
Simone Cecchini, Bernhard Hanke, Thomas Schick
Let be a closed smooth connected spin manifold of even dimension , let be a Riemannian metric of regularity , , on whose distributional scalar curvat…
Nonnegative scalar curvature on manifolds with at least two ends
Simone Cecchini, Daniel Räde, Rudolf Zeidler
Let be an orientable connected -dimensional manifold with and let be a two-sided closed connected incompressible hypersurface which does not admit…
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…
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…
A long neck principle for Riemannian spin manifolds with positive scalar curvature
Simone Cecchini
We develop index theory on compact Riemannian spin manifolds with boundary in the case when the topological information is encoded by bundles which are supported away from the boun…