Abstract
We study conformal actions of connected nilpotent Lie groups on compact pseudo-Riemannian manifolds. We prove that if a type- compact manifold supports a conformal action of a connected nilpotent group , then the degree of nilpotence of is at most , assuming ; further, if this maximal degree is attained, then is conformally equivalent to the universal type-, compact, conformally flat space, up to finite or cyclic covers. The proofs make use of the canonical Cartan geometry associated to a pseudo-Riemannian conformal structure
Citation
Charles Frances. Karin Melnick. "Conformal actions of nilpotent groups on pseudo-Riemannian manifolds." Duke Math. J. 153 (3) 511 - 550, 15 June 2010. https://doi.org/10.1215/00127094-2010-030
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