A non-spin method to the positive weighted mass theorem for weighted manifolds

2023/05/22 by Chu, Jianchun, Zhu, Jintian · 2 citations
#Differential Geometry (math.DG) #FOS: Mathematics #Primary: 53C20 #Secondary: 53C21

paper · doi:10.48550/arxiv.2305.12909

Abstract

In this paper, we investigate the weighted mass for weighted manifolds. By establishing a version of density theorem and generalizing Geroch conjecture in the setting of P-scalar curvature, we are able to prove the positive weighted mass theorem for weighted manifolds, which generalizes the result of Baldauf-Ozuch to non-spin manifolds.

Cited by

• A Weighted Llarull Type Theorem and its applications
• The positive mass theorem under a spectral scalar curvature bound on spin manifolds

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