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2021 Mixed curvature almost flat manifolds
Vitali Kapovitch
Geom. Topol. 25(4): 2017-2059 (2021). DOI: 10.2140/gt.2021.25.2017

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

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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

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

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Vol.25 • No. 4 • 2021
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