A Llarull-type rigidity result for scalar curvature holds on odd-dimensional Riemannian spin manifolds with cone-like singularities via twisted Dirac operators and spectral flow.
arXiv:2405.19724, to appear in Ann
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Proves scalar curvature rigidity for L^∞ metrics on S^n minus high-codimension subsets with wrapping property, plus analogous result for tori and positive mass theorem corollary for L^∞ AF spin manifolds.
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Lipschitz rigidity for scalar curvature on singular manifolds in odd dimensions
A Llarull-type rigidity result for scalar curvature holds on odd-dimensional Riemannian spin manifolds with cone-like singularities via twisted Dirac operators and spectral flow.
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Scalar curvature rigidity of spheres with subsets removed and $L^\infty$ metrics
Proves scalar curvature rigidity for L^∞ metrics on S^n minus high-codimension subsets with wrapping property, plus analogous result for tori and positive mass theorem corollary for L^∞ AF spin manifolds.