Complex Generalized Killing Spinors on Riemannian Spin$^c$ manifolds
Differential Geometry
2013-11-06 v1
Abstract
In this paper, we extend the study of generalized Killing spinors on Riemannian Spin manifolds started by Moroianu and Herzlich to complex Killing functions. We prove that such spinor fields are always real Spin Killing spinors or imaginary generalized Spin Killing spinors, providing that the dimension of the manifold is greater or equal to 4. Moreover, we classify Riemannian Spin manifolds carrying imaginary and imaginary generalized Killing spinors.
Keywords
Cite
@article{arxiv.1311.0969,
title = {Complex Generalized Killing Spinors on Riemannian Spin$^c$ manifolds},
author = {Nadine Große and Roger Nakad},
journal= {arXiv preprint arXiv:1311.0969},
year = {2013}
}
Comments
15 pages