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Parallel and Killing Spinors on Spinc Manifolds

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Abstract:

We describe all simply connected Spinc manifolds carrying parallel and real Killing spinors. In particular we show that every Sasakian manifold (not necessarily Einstein) carries a canonical Spinc structure with Killing spinors.

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Authors and Affiliations

  1. Institut für reine Mathematik, Ziegelstr. 13a, 10099 Berlin, Germany.¶E-mail: moroianu@mathematik.hu-berlin.de, , , , , , DE

    Andrei Moroianu

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  1. Andrei Moroianu
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Received: 24 December 1996 / Accepted: 6 January 1997

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Moroianu, A. Parallel and Killing Spinors on Spinc Manifolds . Comm Math Phys 187, 417–427 (1997). https://doi.org/10.1007/s002200050142

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  • DOI: https://doi.org/10.1007/s002200050142

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