Homogeneous quaternionic Kähler structures of linear type.
type: Item
instance of: scholarly article
title: Homogeneous quaternionic Kähler structures of linear type.
zbMATH Open document ID: 1066.53093
author: Marco Castrillón López
author: P. M. Gadea
author: Andrew Swann
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2004-03-15T00:00:00Z
review text: This paper shows that a connected, simply connected and complete quaternionic Kähler manifold of dimension \(4n\geq 8\) admitting a homogeneous quaternionic Kähler structure with a special type is isometric to quaternionic hyperbolic space. The result is based on a decomposition of the space of quaternionic Kähler homogeneous structures by the irreducible representations of \(\text{Sp}(n)\text{Sp}(1)\subset \text{SO}(4n)\).
Mathematics Subject Classification ID: 53C26
zbMATH DE Number: 2057061
MaRDI profile type: Publication
full work available at URL: j.crma.2003.10.035
OpenAlex ID: W1967899883
cites work: On homogeneous Riemannian manifolds
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cites work: Reductive homogeneous pseudo-Riemannian manifolds
cites work: Characterizing the complex hyperbolic space by Kähler homogeneous structures
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cites work: Quaternion Kählerian manifolds
cites work: Q3943626
cites work: Q4747189
DOI: 10.1016/J.CRMA.2003.10.035
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description: scientific article; zbMATH DE number 2057061