Conformal actions of nilpotent groups on pseudo-Riemannian manifolds

DOI10.1215/00127094-2010-030zbMath1204.53056arXiv0807.4735OpenAlexW2949561933WikidataQ115240685 ScholiaQ115240685MaRDI QIDQ984455

Karin Melnick, Charles Frances

Publication date: 19 July 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4735

zbMATH Keywords

nilpotent grouppseudo-Riemannian manifoldconformal classconformal flatnessconformal dynamicsEinstein universeconformal actiondegree of nilpotence

Mathematics Subject Classification ID

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

Related Items (11)

On low-dimensional manifolds with isometric \(\mathrm {SO}_{0}(p, q)\)-actions ⋮ The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds ⋮ About pseudo-Riemannian Lichnerowicz conjecture ⋮ Conformal vector fields on Lie groups: the trans-Lorentzian signature ⋮ Local dynamics of conformal vector fields ⋮ Influence of stratification on the groups of conformal transformations of pseudo-Riemannian orbifolds ⋮ Topology of automorphism groups of parabolic geometries ⋮ Formes normales pour les champs conformes pseudo-riemanniens ⋮ The conformal group of a compact simply connected Lorentzian manifold ⋮ Strongly essential flows on irreducible parabolic geometries ⋮ An embedding theorem for automorphism groups of Cartan geometries

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