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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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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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