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math.DG2023
Positive mass theorem for asymptotically flat spin manifolds with isolated conical singularities
Xianzhe Dai, Yukai Sun, Changliang Wang
There has been a lot of interests in Positive Mass Theorems for singular metrics on smooth manifolds. We prove a positive mass theorem for asymptotically flat (AF) spin manifolds w…
math.DG2023
Llarull type theorems on complete manifolds with positive scalar curvature
Tianze Hao, Yuguang Shi, Yukai Sun
In this paper, without assuming that manifolds are spin, we prove that if a compact orientable, and connected Riemannian manifold with scalar curvature ad…