Communications in Mathematical Physics

, Volume 193, Issue 3, pp 661–673 | Cite as

Spin c Manifolds and Complex Contact Structures

  • Andrei Moroianu


In this paper we extend our notion of projectable spinors ([9], Ch.1) to the framework of Spin c 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.


Manifold Total Space Contact Structure Twistor Space Projectable Spinor 
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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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