Some remarks on positively curved 4-manifolds
type: Item
instance of: scholarly article
title: Some remarks on positively curved 4-manifolds
zbMATH Open document ID: 0669.53032
author: Walter Seaman
published in: Michigan Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: Let M be a closed connected 4-manifold with \(\pi_ 1(M)=0\). Assume M has positive curvature. The author studies the Weitzenböck operator on 2- forms on M to conclude that M admits at most one harmonic 2-form of constant length. If M does admit such a form, then the intersection form of M is definite.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 58A12
zbMATH DE Number: 4096305
zbMATH Keywords: positive curvature
zbMATH Keywords: Weitzenböck operator
zbMATH Keywords: harmonic 2-form
zbMATH Keywords: intersection form
reviewed by: Mikhail G. Katz
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029003745
OpenAlex ID: W2052337189
DOI: 10.1307/MMJ/1029003745
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description: scientific article; zbMATH DE number 4096305