Kaluza-Klein-type metrics with special Lorentzian holonomy
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
scientific article; zbMATH DE number 5655059