Cohomogeneity one Lorentzian space forms

The study of non-transitive actions of a Lie group G on a smooth manifold is a very interesting problem. The first and most natural case is the case when the action is of cohomogeneity one . Many mathematicians have studied cohomogeneity one Riemannian G-manifolds and there are much nice result in the literature on the subject. But for the cohomogeneity one pseudo-Riemannian manifolds there are no much result in the literature. In this book, which is based on the Ph.D. thesis of the first author, we want to study these manifolds.

Autorentext

Parviz Ahmadi got his Ph.D. from Tarbiat Modares University in Tehran, Iran at 2008. He is currently Assistant Professor of Mathematics at the Zanjan University in Iran. In addition to pursuing research in differential geometry, he teaches undergraduate and graduate courses on the topology and geometry of manifolds.