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

Autor:	Dai, Xianzhe, Sun, Yukai, Wang, Changliang
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: References added.28 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.13285 Zobrazit plný text záznamu View this record from Arxiv