Communications in Mathematical Physics

, Volume 193, Issue 3, pp 661–673

Spinc Manifolds and Complex Contact Structures

  • Andrei Moroianu

Abstract:

In this paper we extend our notion of projectable spinors ([9], Ch.1) to the framework of Spinc manifolds and deduce the basic formulas relating spinors on the base and the total space of Riemannian submersions with totally geodesic one-dimensional fibres. Some geometric applications concerning positive Kähler–Einstein complex contact manifolds (e.g. their characterisation as twistor spaces over positive quaternionic Kähler manifolds) are also given.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Andrei Moroianu
    • 1
  1. 1.Institut für Reine Mathematik, Humboldt-Universität zu Berlin, Ziegelstr. 13a, D–10099 Berlin, GermanyDE

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