• Corpus ID: 2946720

# Kählerian Killing spinors, complex contact structures and twistor spaces

@article{Moroianu1995KhlerianKS,
title={K{\"a}hlerian Killing spinors, complex contact structures and twistor spaces},
author={Andrei Moroianu and Uwe Semmelmann},
journal={Comptes Rendus De L Academie Des Sciences Serie I-mathematique},
year={1995},
volume={323},
pages={57-61}
}
• Published 5 February 1995
• Mathematics
• Comptes Rendus De L Academie Des Sciences Serie I-mathematique
On utilise nos resultats recents ([5] et [8]) pour montrer l'equivalence des trois notions du titre sous certaines conditions. On obtient ensuite des consequences sur les varietes de Sasaki, les structures presque complexes de contact et les k-structures complexes de contact.
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## References

SHOWING 1-10 OF 15 REFERENCES

### La première valeur propre de l'opérateur de Dirac sur les variétés kählériennes compactes

K.D. Kirchberg [Ki1] gave a lower bound for the first eigenvalue of the Dirac operator on a spin compact Kähler manifoldM of odd complex dimension with positive scalar curvature. We prove that

### Complex contact structures and the first eigenvalue of the dirac operator on Kähler manifolds

• Mathematics
• 1995
In this paper Kählerian Killing spinors on manifolds of complex dimensionm=4l+3 are constructed. The construction is based on a theorem which states that a closed Kähler Einstein manifold of complex

### Eingenvalues of the Dirac operator on compact Kähler manifolds

Kählerian twistor operators are introduced to get lower bounds for the eigenvalues of the Dirac operator on compact spin Kähler manifolds. In odd complex dimensions, manifolds with the smallest

### Remarks on complex contact manifolds

1. Statement of results. Let M be a complex manifold of complex dimension 2n+1. Let { Ui} be an open covering of M. We call M a complex contact manifold if the following conditions are satisfied: (1)

### Eigenvalues of the dirac operator

§i. The Theorems In recent years mathematicians have learnt a great deal from physicists and in particular from the work of Edward Witten. In a recent preprint [3], Vafa and Witten have proved some

### Real Contact 3-Structure and Complex Contact Structure

• Sea Bull. Math
• 1979