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math.DG2023
A non-spin method to the positive weighted mass theorem for weighted manifolds
Jianchun Chu, Jintian Zhu
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…
math.DG2023
Riemannian Penrose inequality without horizon in dimension three
Jintian Zhu
Based on the -bubble method we are able to prove the following version of Riemannian Penrose inequality without horizon: if is a complete metric on $\mathbb R^3\setminus\{O\…