Parallel and Killing Spinors on Spin c Manifolds

@inproceedings{Moroianu1996ParallelAK,
  title={Parallel and Killing Spinors on Spin c Manifolds},
  author={Andrei Moroianu},
  year={1996}
}
We describe all simply connected Spin manifolds carrying parallel and real Killing spinors. In particular we show that every Sasakian manifold (not necessarily Einstein) carries a canonical Spin structure with Killing spinors. 
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Showing 1-10 of 12 references

Generic Metrics and Connections on Spin– and Spin– Manifolds

  • S. MAIER
  • preprint
  • 1996
1 Excerpt

Real Killing spinors and holonomy

  • C. BÄR
  • Commun. Math. Phys. 154, 509-521
  • 1993
2 Excerpts

KATH, Einstein manifolds of dimension five with small eigenvalues of the Dirac operator

  • I. Th. FRIEDRICH
  • J. Differential Geom
  • 1989

MICHELSON, Spin Geometry

  • B. LAWSON, M.-L
  • 1989

Parallel Spinors and Parallel Forms

  • M. WANG
  • Ann Global Anal. Geom. 7, 59-68
  • 1989
2 Excerpts

Metrics with Exceptional Holonomy

  • R. L. BRYANT
  • Ann. Math. 126, 525 - 576
  • 1987

An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature

  • K.-D. KIRCHBERG
  • Ann. Global Anal. Geom. 3, 291-325
  • 1986

Caractérisation de la sphère par les premières valeurs propres de l’opérateur de Dirac en dimensions 3

  • O. HIJAZI
  • 4, 7 et 8, C. R. Acad. Sci. Paris t.307 Série I…
  • 1986

GRUNEWALD, On the first eigenvalue of the Dirac operator on 6–dimensional manifolds, Ann

  • R. Th. FRIEDRICH
  • Global Anal. Geom
  • 1985

A remark on the first eigenvalue of the Dirac operator on 4–dimensional

  • Th. FRIEDRICH
  • manifolds, Math. Nachr. 102,
  • 1981

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