Lorentzian manifolds with transitive conformal group

DOI10.1285/i15900932v37suppl1p35zbMath1391.53062arXiv1611.03447OpenAlexW2566390905MaRDI QIDQ4637741

Dimitrii V. Alekseevsky

Publication date: 25 April 2018

Full work available at URL: https://arxiv.org/abs/1611.03447

zbMATH Keywords

conformal groupFefferman spacepseudo-Riemannian conformal structureconformal transformations of Lorentz manifoldspseudo-Riemannian conformally homogeneous manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (7)

Conformal maps between pseudo-Finsler spaces ⋮ The classification of Lorentzian Lie groups with non‐Killing left‐invariant conformal vector fields ⋮ Conformal vector fields on Lie groups: the trans-Lorentzian signature ⋮ Influence of stratification on the groups of conformal transformations of pseudo-Riemannian orbifolds ⋮ Critical Robertson-Walker universes ⋮ Lie groups with conformal vector fields induced by derivations ⋮ On the restricted conformal group of the \((1 + n)\)-Einstein static universe

Cites Work

• Selfsimilar Lorentzian manifolds
• On Lorentz manifolds with essential conformal group
• The action of conformal transformations on a Riemannian manifold
• Conformally homogeneous Lorentz manifolds. II
• Conformally flat Lorentzian manifolds with special holonomy groups
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