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Naturally reductive pseudo-riemannian 2-step nilpotent lie groups
(University of Houston, 2013-01)
This paper deals with naturally reductive pseudo-Riemannian 2- step nilpotent Lie groups for which the metric is invariant under a left action. The case of nondegenerate center is characterized as follows. The simply ...
On the Isometry Groups of Invariant Lorentzian Metrics on the Heisenberg Group
(Birkhauser Verlag Ag, 2014-01)
This work concerns the invariant Lorentzian metrics on the Heisenberg Lie group of dimension three H3(R) and the bi-invariant metrics on the solvable Lie groups of dimension four. We start with the indecomposable Lie groups ...