The skew-torsion holonomy theorem and naturally reductive spaces
type: Item
instance of: scholarly article
title: The skew-torsion holonomy theorem and naturally reductive spaces
zbMATH Open document ID: 1241.53045
DOI: 10.1515/CRELLE.2011.100
author: Silvio Reggiani
author: Carlos Olmos
publication date: 2012-04-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/0811.1157
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C29
zbMATH DE Number: 6022592
zbMATH Keywords: canonical connection
zbMATH Keywords: compact naturally reductive space
zbMATH Keywords: normal homogeneous spaces
zbMATH Keywords: isotropy irreducible space
MaRDI profile type: Publication
arXiv ID: 0811.1157
cites work: On the holonomy of connections with skew-symmetric torsion
cites work: Structure of homogeneous Riemann spaces with zero Ricci curvature
cites work: A variational approach for compact homogeneous Einstein manifolds
cites work: Rank and symmetry of Riemannian manifolds
cites work: A geometric proof of the Berger holonomy theorem
cites work: On the affine group of a normal homogeneous manifold
cites work: Isometry groups of homogeneous spaces with positive sectional curvature
cites work: On the transitivity of holonomy systems
cites work: On isotropy irreducible Riemannian manifolds
cites work: The geometry and structure of isotropy irreducible homogeneous spaces
OpenAlex ID: W2963789519
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published in: Journal für die Reine und Angewandte Mathematik
description: scientific article; zbMATH DE number 6022592