We determine, for all three-dimensional non-unimodular Lie groups equipped with a Lorentzian metric, the set of homogeneous geodesics through a point. Together with the results of [2] and [5], this leads to the full classification of three-dimensional Lorentzian g.o. spaces and naturally reductive spaces.
Homogeneous geodesics of non-unimodular Lorentzian Lie groups and naturally reductive Lorentzian spaces in dimension three
CALVARUSO, Giovanni;MARINOSCI, Rosa Anna
2008-01-01
Abstract
We determine, for all three-dimensional non-unimodular Lie groups equipped with a Lorentzian metric, the set of homogeneous geodesics through a point. Together with the results of [2] and [5], this leads to the full classification of three-dimensional Lorentzian g.o. spaces and naturally reductive spaces.File in questo prodotto:
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