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|Title:||Existence of parallel spinors on nonsimply connected Riemannian manifolds|
|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|
|Appears in Collections:||Staff Publications|
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