Conformal Actions on Homogeneous Lorentzian Manifolds
Journal of Lie Theory, Volume 20 (2010) no. 3, pp. 469-481
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.
DOI:
10.5802/jolt.605
Classification:
57S20, 53C15
Keywords: Lorentzian manifolds, Conformal transformations
Keywords: Lorentzian manifolds, Conformal transformations
@article{JOLT_2010_20_3_a2,
author = {U. Bader},
title = {Conformal {Actions} on {Homogeneous} {Lorentzian} {Manifolds}},
journal = {Journal of Lie Theory},
pages = {469--481},
year = {2010},
volume = {20},
number = {3},
doi = {10.5802/jolt.605},
zbl = {1200.57025},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.605/}
}
U. Bader. Conformal Actions on Homogeneous Lorentzian Manifolds. Journal of Lie Theory, Volume 20 (2010) no. 3, pp. 469-481. doi: 10.5802/jolt.605
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