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|Title:||Spin holonomy of Einstein manifolds|
|Source:||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|
|Appears in Collections:||Staff Publications|
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