The positive mass theorem for asymptotically flat manifolds with isolated conical singularities

被引：1

作者：

Dai, Xianzhe ^{[1
]}

Sun, Yukai ^{[2
]}

Wang, Changliang ^{[3
,4
]}

机构：

[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[2] Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R China

[3] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

[4] Tongji Univ, Inst Adv Study, Key Lab Intelligent Comp & Applicat, Minist Educ, Shanghai 200092, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2024年

基金：

国家重点研发计划;

关键词：

positive mass theorem; conical singularity; conformal change; blow-up; SCALAR CURVATURE; METRICS; PROOF;

D O I：

10.1007/s11425-024-2325-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the positive mass theorem for asymptotically flat (AF for short) manifolds with finitely many isolated conical singularities. We do not impose the spin condition. Instead, we use the conformal blow-up technique which dates back to Schoen's final resolution of the Yamabe conjecture.

引用

页码：1671 / 1686

页数：16