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math.DG2025★ 1 cited
Abstract cone operators and Lipschitz rigidity for scalar curvature on singular manifolds
Simone Cecchini, Bernhard Hanke, Thomas Schick +1
Using the index theory for twisted Dirac operators acting on sections of Lipschitz bundles over non-compact manifolds, we prove Llarull-type comparison results in scalar curvature…
math.DG2016★ 4 cited
Callias-type operators in -algebras and positive scalar curvature on noncompact manifolds
Simone Cecchini
A Dirac-type operator on a complete Riemannian manifold is of Callias-type if its square is a Schrödinger-type operator with a potential uniformly positive outside of a compact set…