Communications in Mathematical Physics

, Volume 187, Issue 2, pp 417–427

Parallel and Killing Spinors on Spinc Manifolds

  • Andrei Moroianu

DOI: 10.1007/s002200050142

Cite this article as:
Moroianu, A. Comm Math Phys (1997) 187: 417. doi:10.1007/s002200050142

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.

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Andrei Moroianu
    • 1
  1. 1.Institut für reine Mathematik, Ziegelstr. 13a, 10099 Berlin, Germany.¶E-mail: moroianu@mathematik.hu-berlin.deDE