Scalar curvature lower bound under integral convergence
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Author(s)
Huang, Yiqi
Lee, Man-Chun
Date Issued
November 28, 2022
Publisher
Springer Berlin Heidelberg
Citation
Mathematische Zeitschrift. 2022 Nov 28;303(1):2
Version
Author's final manuscript
Abstract
Abstract
In this work, we consider sequences of
$$C^2$$
C
2
metrics which converges to a
$$C^2$$
C
2
metric in
$$C^0$$
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00209-022-03155-9
