Conformal holonomy, symmetric spaces, and skew symmetric torsion

Abstract

We consider the question: can the isotropy representation of an irreducible pseudoRiemannian symmetric space be realized as a conformal holonomy group? Using recent results of Čap, Gover and Hammerl, we study the representations of SO(2, 1), PSU(2, 1) and PSp(2, 1) as isotropy groups of irreducible symmetric spaces of signature (3, 2), (4, 4) and (6, 8… (More)
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@inproceedings{Alt2012ConformalHS, title={Conformal holonomy, symmetric spaces, and skew symmetric torsion}, author={Jesse Alt and Antonio Scala and Thomas Leistner}, year={2012} }