A Weighted Llarull Type Theorem

Published 16 Nov 2025 in math.DG | (2511.12517v1)

Abstract: This paper generalizes Llarull's classical scalar curvature rigidity theorem to the setting of weighted manifolds with P-scalar curvature. More precisely, We obtain the P-scalar curvature rigidity of the round sphere. Furthermore, we prove the improvement of Llarull's theorem due to Listing \cite{listing2010scalar} for P-scalar curvature.

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