On causal structure of homogeneous Lorentzian manifolds

Details On causal structure of homogeneous Lorentzian manifolds On causal structure of homogeneous Lorentzian manifolds

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989gregr..21.1027l&link_type=abstract

General Relativity and Gravitation, Volume 21, Issue 10, pp.1027-1045

Computer Science

2

Scientific paper

This article is a shortened version of a preprint [1]. It contains some new methods to investigate the causal structure of Lorentzian homogeneous manifolds (Sections 2 4; for all unfamiliar definitions and notations dealing with Lorentzian geometry the reader is referred to [2]). In Section 5 these methods are applied to the description of the causal structure of all geodesically complete spaces determined by left-invariant Lorentzian metrics on three-dimensional simply connected solvable Lie groups.

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