Positive mass theorem for asymptotically flat spin manifolds with isolated conical singularities

Xianzhe Dai; Yukai Sun; Changliang Wang

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arXiv · 2310.13285

Positive mass theorem for asymptotically flat spin manifolds with isolated conical singularities

Xianzhe Dai·Yukai Sun·Changliang Wang

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Abstract

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 with isolated conical singularities or more generally horn singularities. In particular, we allow topological singularities in the space as we do not require the cross sections of the conical singularity to be spherical. Note that the negative mass Schwarzschild metric is AF with a horn singularity.

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BibTeX RIS

Xianzhe Dai, Yukai Sun, Changliang Wang. 2023-10-20. Positive mass theorem for asymptotically flat spin manifolds with isolated conical singularities. https://arxiv.org/abs/2310.13285

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