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.
Trudinger,Elliptic partial differential equations of second order, Classics in Mathematics, Springer-Verlag, Berlin, 2001
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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.