Homogeneous quaternionic Kähler structures on eight-dimensional non-compact quaternion-Kähler symmetric spaces
type: Item
instance of: scholarly article
title: Homogeneous quaternionic Kähler structures on eight-dimensional non-compact quaternion-Kähler symmetric spaces
zbMATH Open document ID: 1176.53049
author: P. M. Gadea
author: Marco Castrillón López
author: J. A. Oubiña
published in: Mathematical Physics, Analysis and Geometry
publication date: 2009-08-31T00:00:00Z
full work available at URL: castrillon-Homogeneous.pdf
review text: In this paper 8-dimensional non-compact quaternion-Kähler symmetric spaces are studied. The authors give all the homogeneous descriptions of these spaces and they obtain the corresponding homogeneous quaternionic Kähler structures. These structures are associated to the reductive decompositions defined via Witte's refined Langlands decomposition of the identity component of each parabolic subgroup of the full connected isometry group. Moreover, they exhibit the type of these structures.
reviewed by: Ágota Figula
Mathematics Subject Classification ID: 53C26
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 5600078
zbMATH Keywords: homogeneous quaternionic Kähler structures
zbMATH Keywords: homogeneous Riemannian structures
zbMATH Keywords: non-compact quaternion-Kähler symmetric spaces
MaRDI profile type: Publication
OpenAlex ID: W1990822347
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DOI: 10.1007/S11040-008-9051-X
description: scientific article; zbMATH DE number 5600078