Kaluza-Klein-type metrics with special Lorentzian holonomy
type: Item
instance of: scholarly article
title: Kaluza-Klein-type metrics with special Lorentzian holonomy
zbMATH Open document ID: 1185.53051
author: Thomas Krantz
published in: Journal of Geometry and Physics
publication date: 2010-01-08T00:00:00Z
review text: Kaluza Klein metrics are natural metrics on the total space of principal \(S^1\)-bundles over Riemannian manifolds equipped with a connection form. In this paper the author gives a generalization of Kaluza-Klein metric and proves a theorem characterizing a class of manifolds with such metric and special Lorentz holonomy. A lot of examples which justify the nain result of the paper are given
reviewed by: Constantin Călin
Mathematics Subject Classification ID: 53C29
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 5655059
zbMATH Keywords: Lorentzian geometry
zbMATH Keywords: Kaluza-Klein metric
zbMATH Keywords: contact geometry
zbMATH Keywords: holonomy
MaRDI profile type: Publication
full work available at URL: j.geomphys.2009.09.009
OpenAlex ID: W1976558756
Wikidata QID: Q126202525
cites work: Q3938903
cites work: Eichfeldtheorie
cites work: Q3142327
cites work: Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
DOI: 10.1016/J.GEOMPHYS.2009.09.009
description: scientific article; zbMATH DE number 5655059