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Mixed curvature almost flat manifolds

Vitali Kapovitch

Geometry & Topology 25 (2021) 2017–2059
Abstract

We prove a mixed curvature analogue of Gromov’s Almost Flat Manifolds Theorem for upper sectional and lower Bakry–Emery Ricci curvature bounds.

Keywords
Bakry–Emery Ricci curvature, almost flat, sectional curvature, curvature bounds, infranilmanifold
Mathematical Subject Classification 2010
Primary: 53C20, 53C21
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
Authors
Vitali Kapovitch
Department of Mathematics
University of Toronto
Toronto, ON
Canada