Scalar curvature lower bound under integral convergence

被引：3
|
作者：
Huang, Yiqi [1 ]
Lee, Man-Chun [2 ]
机构：
[1] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA
[2] Chinese Univ Hong Kong, Dept Math, Hong Kong, Peoples R China
来源：
MATHEMATISCHE ZEITSCHRIFT | 2023年 / 303卷 / 01期
关键词：
RICCI FLOW;
D O I：
10.1007/s00209-022-03155-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we consider sequences of C-2 metrics which converges to a C-2 metric in C-0 sense. We show that if the scalar curvature of the sequence is almost non-negative in the integral sense, then the limiting metric has scalar curvature lower bound in point-wise sense.
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页数：10
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