Mixed curvature almost flat manifolds
Vitali Kapovitch
Abstract
We prove a mixed curvature analogue of Gromov's almost flat manifolds theorem for upper sectional and lower Bakry-Emery Ricci curvature bounds.
Topics & Concepts
MathematicsSectional curvatureCurvatureRicci curvatureRicci-flat manifoldCurvature of Riemannian manifoldsPure mathematicsMathematical analysisUpper and lower boundsNegative curvatureScalar curvatureGeometryGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Differential Geometry Research