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Regularity of
manifolds with integral scalar curvature bound and entropy
lower bound
Shangzhi Zou |
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Vol. 330 (2024), No. 2, 373–387
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Abstract |
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We generalize the work of Lee, Naber and Neumayer on regularity of manifolds with lower-bounded scalar curvature and almost Euclidean entropy. We show the same result in the case of integral bounded scalar curvature. In addition, we also obtain a compactness theorem and an a prior scalar curvature bound estimate for . |
Keywords
regularity theorem, bounded integral scalar curvature
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Mathematical Subject Classification
Primary: 53C23
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Milestones
Received: 16 January 2024
Revised: 23 July 2024
Accepted: 10 August 2024
Published: 13 September 2024
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Authors |
| Shangzhi Zou | |
| School of Mathematical
Sciences Capital Normal University Beijing, China |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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