Mixed curvature almost flat manifolds

Abstract

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

Vitali Kapovitch. "Mixed curvature almost flat manifolds." Geom. Topol. 25 (4) 2017 - 2059, 2021. https://doi.org/10.2140/gt.2021.25.2017

Received: 16 December 2019; Revised: 14 April 2020; Accepted: 14 May 2020; Published: 2021

First available in Project Euclid: 12 October 2021

MathSciNet: MR4286368

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