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Einstein-Like Metrics on Three-Dimensional Non-unimodular Lorentzian Lie Groups
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Homogeneous Geodesics of Three-Dimensional Unimodular Lorentzian Lie Groups
Mediterranean Journal of Mathematics, 2006We consider three-dimensional unimodular Lie groups equipped with a Lorentzian metric and we determine, for all of them, their sets of homogeneous geodesics through a point.
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On the geometrical properties of hypercomplex four-dimensional Lorentzian Lie groups
Georgian Mathematical Journal, 2019In this paper we first classify left-invariant generalized Ricci solitons on four-dimensional hypercomplex Lie groups equipped with three families of left-invariant Lorentzian metrics.
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The classification of Lorentzian Lie groups with non‐Killing left‐invariant conformal vector fields
Bulletin of the London Mathematical Society, 2022This paper is to classify Lorentzian Lie groups (G,⟨·,·⟩)$(G,\langle \cdot ,\cdot \rangle )$ admitting non‐Killing left‐invariant conformal vector fields whose Lie algebra is g${\mathfrak {g}}$ .
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