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Title: Spin holonomy of Einstein manifolds
Authors: McInnes, B. 
Issue Date: 1999
Citation: McInnes, B. (1999). Spin holonomy of Einstein manifolds. Communications in Mathematical Physics 203 (2) : 349-364. ScholarBank@NUS Repository.
Abstract: Berger's Theorem classifies the linear holonomy groups of irreducible, simply connected Riemannian manifolds. For physical applications, however, it is at least as important to have a classification of the possible spin holonomy groups (defined by the parallel transport of spinors) of non-simply-connected manifolds. We establish a complete classification of the spin holonomy groups of all compact, locally irreducible, Einstein Riemannian spin manifolds of non-negative scalar curvature.
Source Title: Communications in Mathematical Physics
ISSN: 00103616
Appears in Collections:Staff Publications

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