Journal of Lie Theory 20 (2010), No. 3, 469--481
Copyright Heldermann Verlag 2010
Conformal Actions on Homogeneous Lorentzian Manifolds
Uri Bader
Faculty of Mathematics, The Technion, Haifa 32000, Israel
uri.bader@gmail.com
A conformal group action on a pseudo-Riemannian manifold is essential if the action is not an isometric action with respect to a conformally equivalent metric. We classify all essential actions of simple Lie groups on Riemannian, Lorentzian and sub-Lorentzian manifolds.
Keywords: Lorentzian manifolds, Conformal transformations.
MSC: 57S20, 53C15
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