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Mixed curvature almost
flat manifolds
Vitali Kapovitch |
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Geometry & Topology 25 (2021) 2017–2059
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Abstract |
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We prove a mixed curvature analogue of Gromov’s Almost Flat Manifolds Theorem for upper sectional and lower Bakry–Emery Ricci curvature bounds. |
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Keywords
Bakry–Emery Ricci curvature, almost flat, sectional
curvature, curvature bounds, infranilmanifold
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Mathematical Subject Classification 2010
Primary: 53C20, 53C21
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References |
Publication
Received: 16 December 2019
Revised: 14 April 2020
Accepted: 14 May 2020
Published: 12 July 2021
Proposed: Tobias H Colding
Seconded: Urs Lang, Anna Wienhard
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Authors |
| Vitali Kapovitch | |
| Department of Mathematics University of Toronto Toronto, ON Canada |
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