# Hypersurfaces of Spinc Manifolds and Lawson Type Correspondence

@article{Nakad2012HypersurfacesOS,
title={Hypersurfaces of Spinc Manifolds and Lawson Type Correspondence},
journal={Annals of Global Analysis and Geometry},
year={2012},
volume={42},
pages={421-442}
}
• Published 14 March 2012
• Mathematics
• Annals of Global Analysis and Geometry

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

• Mathematics
• 2015
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

### Spinorial Characterization of CR Structures, I

• Mathematics
• 2012
We characterize certain CR structures of arbitrary codimension (different from 3, 4 and 5) on Riemannian Spin$^c$ manifolds by the existence of a Spin$^c$ structure carrying a strictly partially pure

### Spinorial Representation of Submanifolds in Riemannian Space Forms

• Mathematics
• 2016
In this paper we give a spinorial representation of submanifolds of any dimension and codimension into Riemannian space forms in terms of the existence of so called generalized Killing spinors. We

### Boundary value problems for noncompact boundaries of Spinc manifolds and spectral estimates

• Mathematics
• 2014
We study boundary value problems for the Dirac operator on Riemannian Spinc manifolds of bounded geometry and with noncompact boundary. This generalizes a part of the theory of boundary value

### Complex Generalized Killing Spinors on Riemannian Spinc Manifolds

• Mathematics
Results in Mathematics
• 2014
In this paper, we extend the study of generalized Killing spinors on Riemannian Spinc manifolds started by Moroianu and Herzlich to complex Killing functions. We prove that such spinor fields are

## References

SHOWING 1-10 OF 31 REFERENCES

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

• Mathematics
• 2006
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

### The Spinor Representation of Surfaces in Space

• Mathematics
• 1996
The spinor representation is developed for conformal immersions of Riemann surfaces into space. We adapt the approach of Dennis Sullivan, which treats a spin structure on a Riemann surface M as a

### Isometric immersions into 3-dimensional homogeneous manifolds

We give a necessary and sufficient condition for a 2-dimensional Riemannian manifold to be locally isometrically immersed into a 3-dimensional homogeneous Riemannian manifold with a 4-dimensional

### Generalized Killing Spinors and Conformal Eigenvalue Estimates for Spinc Manifolds

• Mathematics
• 1999
In this paper we prove the Spinc analog of the Hijazi inequality on the first eigenvalue of the Dirac operator on compact Riemannian manifolds and study its equality case. During this study, we are

### The Energy-Momentum tensor on $Spin^c$ manifolds

On $Spin^c$ manifolds, we study the Energy-Momentum tensor associated with a spinor field. First, we give a spinorial Gauss type formula for oriented hypersurfaces of a $Spin^c$ manifold. Using the

### 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