Transitive group actions and Ricci curvature properties
type: Item
instance of: scholarly article
title: Transitive group actions and Ricci curvature properties
zbMATH Open document ID: 0677.53056
published in: Michigan Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: The main results in this paper are: (i) Any transitive group of isometries of a homogeneous Riemannian manifold with non-negative Ricci curvature is unimodular. In fact, there is a structural splitting theorem for such groups. (ii) Any transitive connected unimodular group of isometries of a homogeneous Riemannian manifold with negative Ricci curvature is semi-simple and closed. These results extend known results by J. Milnor and J. Wolf.
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 4109560
zbMATH Keywords: group of isometries
zbMATH Keywords: non-negative Ricci curvature
zbMATH Keywords: homogeneous Riemannian manifold
author: Isabel Dotti Miatello
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029003823
OpenAlex ID: W2122720742
DOI: 10.1307/MMJ/1029003823
description: scientific article; zbMATH DE number 4109560