Geodesic
Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article we develop some elementary aspects of a theory of symmetry in sub-Lorentzian geometry. First of all we construct invariants characterizing isometric classes of sub-Lorentzian contact $3$ manifolds. Next we characterize vector fields which generate isometric and conformal symmetries in general sub-Lorentzian manifolds. We then focus attention back to the case where the underlying manifold is a contact $3$ manifold and more specifically when the manifold is also a Lie group and the structure is left-invariant.
Keywords: sub-Lorentzian; contact distribution; left-invariant; symmetry. 
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     author = {Marek Grochowski and Ben Warhurst},
     title = {Invariants and {Infinitesimal} {Transformations} for {Contact} {Sub-Lorentzian} {Structures} on {3-Dimensional} {Manifolds}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a30/}
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Marek Grochowski; Ben Warhurst. Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a30/

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