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arXiv · 2511.12517

A Weighted Llarull Type Theorem and its applications

Linfeng Zhou·Guangrui Zhu
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Abstract

This paper generalizes Llarull's classical scalar curvature rigidity theorem to the setting of weighted manifolds with P-scalar curvature. More precisely, we prove the refinement of Llarull's theorem for P-scalar curvature, which is similar to Listing's work \cite{listing2010scalar}. As an application, we establish a Llarull type theorem in the form of $\mathbb{S}^k\times\mathbb{T}^{n-k}$.

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Linfeng Zhou, Guangrui Zhu. 2025-11-16. A Weighted Llarull Type Theorem and its applications. https://arxiv.org/abs/2511.12517

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