Conformal flatness, non-Abelian Kaluza-Klein and the Quaternions
arXiv:1101.0454 · doi:10.1016/j.geomphys.2011.10.019
Abstract
Maximally symmetric manifolds with holonomy in the unitary quaternionic group Sp(d/4) emerge from the non-Abelian Kaluza-Klein reduction of conformally flat spaces. Thus, all special manifolds with constant properly `holonomy-related' sectional curvature, are in natural correspondence with conformally flat, possibly non-Abelian, Kaluza-Klein spaces.
arXiv comment13 pages, no figures, minor typo corrections
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