5-dimensional contact manifolds with second Betti number \(b_ 2=0\)
type: Item
instance of: scholarly article
title: 5-dimensional contact manifolds with second Betti number \(b_ 2=0\)
zbMATH Open document ID: 0654.53051
author: Domenico Perrone
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1989-01-01T00:00:00Z
review text: Let M be a 5-dimensional simply-connected compact regular Sasakian manifold with \(b_ 2=0\). If the scalar curvature \(r>-4\) (resp. \(r=const.>-4)\), then M is homeomorphic (resp. isometric) to a sphere S 5. A conseqence of these results is the following: a 5-dimensional compact simply-connected regular Sasakian manifold either of positive curvature or \(\mu\)-holomorphically pinched with \(\mu >1/2\), is homeomorphic to a sphere S 5.
reviewed by: Domenico Perrone
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 4067802
zbMATH Keywords: Sasakian manifold
zbMATH Keywords: scalar curvature
zbMATH Keywords: homeomorphic to a sphere
zbMATH Keywords: Betti number
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178227872
OpenAlex ID: W1982700695
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Wikidata QID: Q125761260
DOI: 10.2748/TMJ/1178227872
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description: scientific article; zbMATH DE number 4067802