Structure of standard homogeneous Einstein manifolds with simple isotropy group. II
type: Item
instance of: scholarly article
title: Structure of standard homogeneous Einstein manifolds with simple isotropy group. II
zbMATH Open document ID: 0901.53035
DOI: 10.1007/BF02104858
author: E. D. Rodionov
published in: Siberian Mathematical Journal
publication date: 1998-11-22T00:00:00Z
review text: [For Part I, see the preceding review Zbl 0901.53034.] The metrics of standard homogeneous Riemannian manifolds are determined with the help of Killing forms on the group of motions of this space. First, the author discusses the question whether a standard homogeneous Riemannian manifold is Einstein. The author also builds new nontrivial examples of homogeneous manifolds with a semisimple group of motions and also with a semisimple isotropy group. The existence of these spaces depends on the existence of solutions to some diophantine equations which are found by direct substitution.
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 1023952
zbMATH Keywords: group of motions
zbMATH Keywords: standard homogeneous Riemannian manifolds
zbMATH Keywords: semisimple isotropy group
zbMATH Keywords: existence
MaRDI profile type: Publication
cites work: Structure of standard homogeneous Einstein manifolds with simple isotropy group. I
cites work: On normal homogeneous Einstein manifolds
cites work: The geometry and structure of isotropy irreducible homogeneous spaces
cites work: Q4220423
full work available at URL: https://doi.org/10.1007/bf02104858
OpenAlex ID: W2046289154
description: scientific article; zbMATH DE number 1023952