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Title: Existence of parallel spinors on nonsimply connected Riemannian manifolds
Authors: McInnes, B. 
Issue Date: Apr-1998
Citation: McInnes, B. (1998-04). Existence of parallel spinors on nonsimply connected Riemannian manifolds. Journal of Mathematical Physics 39 (4) : 2362-2366. ScholarBank@NUS Repository.
Abstract: It is well known, and important for applications, that Ricci-flat Riemannian manifolds of nongeneric holonomy always admit a parallel (covariant constant) spinor if they are simply connected. The nonsimply connected case is much more subtle, however. We show that a parallel spinor can still be found in this case provided that the (real) dimension is not a multiple of four, and provided that the spin structure is carefully chosen. © 1998 American Institute of Physics.
Source Title: Journal of Mathematical Physics
ISSN: 00222488
Appears in Collections:Staff Publications

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