Homogeneous Einstein manifolds of negative scalar curvature: construction using Clifford modules
type: Item
instance of: scholarly article
title: Homogeneous Einstein manifolds of negative scalar curvature: construction using Clifford modules
zbMATH Open document ID: 1016.53034
DOI: 10.1023/A:1020326312290
author: Hamid-Reza Fanaï
published in: Geometriae Dedicata
publication date: 2002-12-15T00:00:00Z
review text: All known examples of non-compact, non-flat homogeneous Einstein manifolds are isometric to simply connected solvable Lie groups equipped with a left-invariant Riemannian metric. The author started his study of these spaces in [Geom. Dedicata 80, 187-200 (2000; Zbl 0964.53029)] where he obtained in some special case the necessary and sufficient conditions for their existence. The construction of some specific examples showed the important role played by Clifford structures. In this paper, the author continues to study the existence problem and, using Clifford modules, he gives a method for the construction of many examples.
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 1845449
zbMATH Keywords: homogeneous Einstein manifolds
zbMATH Keywords: Clifford structures
reviewed by: Lieven Vanhecke
MaRDI profile type: Publication
full work available at URL: a:1020326312290
OpenAlex ID: W231355921
description: scientific article; zbMATH DE number 1845449