Parallel and Killing Spinors on Spin^c Manifolds

Abstract : We describe all simply connected Spin^c manifolds carrying parallel and real Killing spinors. In particular we show that every Sasakian manifold (not necessarily Einstein) carries a canonical Spin^c structure with Killing spinors.
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Andrei Moroianu. Parallel and Killing Spinors on Spin^c Manifolds. Communications in Mathematical Physics, Springer Verlag, 1997, 187, pp.417-427. ⟨10.1007/s002200050142⟩. ⟨hal-00125985⟩

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