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Curvature tensor of
smoothable Alexandrov spaces
Nina Lebedeva and Anton Petrunin |
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Geometry & Topology 28 (2024) 3869–3907
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Abstract |
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We prove weak convergence of curvature tensors of Riemannian manifolds for converging noncollapsing sequences with a lower bound on sectional curvature. |
Keywords
curvature tensor, Alexandrov space
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Mathematical Subject Classification
Primary: 53C20, 53C23, 53C45
Secondary: 30L99
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References |
Publication
Received: 19 September 2022
Revised: 22 July 2023
Accepted: 25 August 2023
Published: 20 December 2024
Proposed: John Lott
Seconded: Urs Lang, Dmitri Burago
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Authors |
| Nina Lebedeva | |
| Mathematics Department Saint Petersburg State University Saint Petersburg Russia |
Saint Petersburg Department V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences Saint Petersburg Russia |
| Anton Petrunin | |
| Department of Mathematics Pennsylvania State University University Park, PA United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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