A remark on conformal (p,q)-holonomy
Abstract
If the conformal holonomy group Hol(T) of a simply connected space with conformal structure of signature (2p-1,2q-1) is reduced to (p,q) then the conformal holonomy is already contained in the special unitary group (p,q). We present two different proofs of this statement, one using conformal tractor calculus and an alternative proof using Sparling's characterisation of Fefferman metrics.
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