<p>We completely classify homogeneous structures on all non-symmetric three-dimensional Lorentzian Lie groups. Differently from the Riemannian case, non-canonical homogeneous structures also arise in some cases not corresponding to naturally reductive spaces.</p>

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Three-dimensional homogeneous Lorentzian structures

  • Giovanni Calvaruso,
  • Amirhesam Zaeim

摘要

We completely classify homogeneous structures on all non-symmetric three-dimensional Lorentzian Lie groups. Differently from the Riemannian case, non-canonical homogeneous structures also arise in some cases not corresponding to naturally reductive spaces.