A non-spin method to the positive weighted mass theorem for weighted manifolds
Differential Geometry
2023-05-23 v1
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 -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.
Keywords
Cite
@article{arxiv.2305.12909,
title = {A non-spin method to the positive weighted mass theorem for weighted manifolds},
author = {Jianchun Chu and Jintian Zhu},
journal= {arXiv preprint arXiv:2305.12909},
year = {2023}
}
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27 pages