• Corpus ID: 2946720

Kählerian Killing spinors, complex contact structures and twistor spaces

  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},
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. 

Spinc Manifolds and Complex Contact Structures

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

Spinc geometry of Kähler manifolds and the Hodge Laplacian on minimal Lagrangian submanifolds

From the existence of parallel spinor fields on Calabi-Yau, hyper-Kähler or complex flat manifolds, we deduce the existence of harmonic differential forms of different degrees on their minimal

On Complex Contact Similarity Manifolds

We shall construct \emph{complex contact similarity manifolds}. Among them there exists a complex contact infranilmanifold $\cL/\Gamma$ which is a holomorphic torus fiber space over a  quaternionic

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In this article we prove an upper bound for a Hilbert polynomial on quaternionic Kähler manifolds of positive scalar curvature. As corollaries we obtain bounds on the quaternionic volume and the

Eigenvalue Estimates of the spin c Dirac Operator and Harmonic Forms on Kahler{Einstein Manifolds

We establish a lower bound for the eigenvalues of the Dirac operator defined on a compact Kahler{Einstein manifold of positive scalar curvature and endowed with particular spin c structures. The

Quaternions in mathematical physics (1): Alphabetical bibliography

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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

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

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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

Quaternionic Kähler manifolds