Abstract
AbstractVia Cartan and tractor calculus there is an invariant notion of conformal holonomy. Similar to the deRham decomposition theorem of Riemannian geometry, there is a geometric decomposition theorem for conformal holonomy as well. This was established in 3 and 15,17. However, in general, conformal manifolds with decomposable holonomy exhibit singularities. In this paper we solve the singularity case, which is based on the Sl‐doubling construction of 20.
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