Pinching and Betti numbers
type: Item
instance of: scholarly article
title: Pinching and Betti numbers
zbMATH Open document ID: 0535.53033
DOI: 10.1007/BF00054492
author: Dominique Hulin
published in: Annals of Global Analysis and Geometry
publication date: 1985-01-01T00:00:00Z
review text: We prove that the second real Betti number of an even dimensional complete Riemannian manifold which is (1/4-\(\epsilon)\)-pinched is bounded by one if \(\epsilon\) is small enough.
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 3850025
zbMATH Keywords: pinching condition
zbMATH Keywords: Betti number
MaRDI profile type: Publication
cites work: Sur les variétés riemanniennes pincées juste au-dessous de 1/4
cites work: Le second nombre de Betti d'une variété riemannienne \((\frac{1}{4}-\epsilon)\)-pincée de dimension 4
cites work: A Short Proof of Berger's Curvature Tensor Estimates
cites work: Pinching implies strong pinching
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description: scientific article; zbMATH DE number 3850025