Abstract
We prove a mixed curvature analogue of Gromov’s Almost Flat Manifolds Theorem for upper sectional and lower Bakry–Emery Ricci curvature bounds.
Citation
Vitali Kapovitch. "Mixed curvature almost flat manifolds." Geom. Topol. 25 (4) 2017 - 2059, 2021. https://doi.org/10.2140/gt.2021.25.2017
Information
Received: 16 December 2019; Revised: 14 April 2020; Accepted: 14 May 2020; Published: 2021
First available in Project Euclid: 12 October 2021
MathSciNet: MR4286368
zbMATH: 1476.53060
Digital Object Identifier: 10.2140/gt.2021.25.2017
Subjects:
Primary:
53C20
,
53C21
Keywords:
almost flat
,
Bakry–Emery Ricci curvature
,
curvature bounds
,
infranilmanifold
,
sectional curvature
Rights: Copyright © 2021 Mathematical Sciences Publishers