Four-dimensional ball-homogeneous and \(C\)-spaces
type: Item
instance of: scholarly article
title: Four-dimensional ball-homogeneous and \(C\)-spaces
zbMATH Open document ID: 0884.53037
author: Lieven Vanhecke
author: Giovanni Calvaruso
author: Philippe Tondeur
published in: Beiträge zur Algebra und Geometrie
publication date: 1998-04-05T00:00:00Z
full work available at URL: https://eudml.org/doc/232429
full work available at URL: no.2
review text: A ball-homogeneous space is a Riemannian manifold on which the volume of a small geodesic ball depends only on the radius. A \(C\)-space is a Riemannian manifold on which the Jacobi operator along each geodesic has constant eigenvalues. We select here two of the main results: (1) A ball-homogeneous four-dimensional Hermitian Einstein space is locally symmetric. (2) A four-dimensional compact Hermitian Einstein \(C\)-space is locally symmetric.
reviewed by: Oldřich Kowalski
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 1066113
zbMATH Keywords: 4-manifolds
zbMATH Keywords: \(C\)-space
zbMATH Keywords: ball-homogeneous space
zbMATH Keywords: Einstein space
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1066113