Solutions of Yang-Mills equations on generalized Hopf bundles
type: Item
instance of: scholarly article
title: Solutions of Yang-Mills equations on generalized Hopf bundles
zbMATH Open document ID: 1009.53021
DOI: 10.1016/S0393-0440(01)00046-8
author: S. Vukmirović
author: Novica Blažić
published in: Journal of Geometry and Physics
publication date: 2002-06-23T00:00:00Z
review text: The authors construct natural connections on the generalized Hopf fibrations over the projective spaces \(\mathbb{C} P^{(p,q)}\) and \(\mathbb{H} P^{(p, q)}\) and over the para-complex and para-quaternionic projective spaces \(\widetilde \mathbb{C} P^{(p,q)}\) and \(\widetilde\mathbb{H} P^{(p,q)}\). They prove that these connections are self-dual. Finally, they give local representations of these connections.
reviewed by: Florence Gouli-Andreou
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 53C10
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 1758078
zbMATH Keywords: para-complex projective space
zbMATH Keywords: selfdual connection
zbMATH Keywords: generalized Hopf fibrations
zbMATH Keywords: para-quaternionic projective spaces
MaRDI profile type: Publication
cites work: Paraquaternionic projective space and pseudo-Riemannian geometry
cites work: A survey on paracomplex geometry
cites work: Q3312869
cites work: Q3881472
full work available at URL: s0393-0440(01)00046-8
OpenAlex ID: W1963622086
description: scientific article; zbMATH DE number 1758078