Instantons and hypercontact structures
type: Item
instance of: scholarly article
title: Instantons and hypercontact structures
zbMATH Open document ID: 0864.53022
DOI: 10.1016/0393-0440(95)00032-1
author: Augustin Banyaga
published in: Journal of Geometry and Physics
publication date: 1997-06-08T00:00:00Z
review text: The paper under review is related to a paper by \textit{H. Geiges} and \textit{C. B. Thomas} [Sasakian 3-structure on the 7-sphere and the basic instanton (preprint)]. From the abstract: ``Any (anti-)instanton yields a set of three contact forms on \(S^7\). The basic (anti)-instanton yields a hypercontact structure (cf. the above cited paper). Also, we indicate sufficient conditions for the components of an \(SU(2)\) connection to be contact forms. Finally, we prove, under a mild hypothesis, that the three contact forms of any hypercontact structure define the same contact structure''.
reviewed by: Zbigniew Olszak
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C12
zbMATH DE Number: 923743
zbMATH Keywords: instantons
zbMATH Keywords: contact forms
zbMATH Keywords: hypercontact structure
MaRDI profile type: Publication
full work available at URL: 0393-0440(95)00032-1
OpenAlex ID: W2008349504
cites work: Almost contact manifolds with Killing structure tensors
cites work: Q5185713
cites work: Some global properties of contact structures
cites work: On manifolds with Sasakian $3$-structure over quaternion Kaehler manifolds
cites work: Q3730551
description: scientific article; zbMATH DE number 923743