3 papers
math.DG2024
Positive scalar curvature and isolated conical singularity
Xianzhe Dai, Yukai Sun, Changliang Wang
We prove a Geroch type result for isolated conical singularity. Namely, we show that there is no Riemannian metric on with an isolated conical singularity which ha…
math.DG2024
Positive mass theorem for asymptotically flat manifolds with isolated conical singularities
Xianzhe Dai, Yukai Sun, Changliang Wang
We prove the positive mass theorem for asymptotical flat (AF for short) manifolds with finitely many isolated conical singularities. We do not impose the spin condition. Instead we…
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…