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Paper detail

Complex Generalized Killing Spinors on Riemannian Spin$^c$ manifolds

In this paper, we extend the study of generalized Killing spinors on Riemannian Spin$^c$ manifolds started by Moroianu and Herzlich to complex Killing functions. We prove that such spinor fields are always real Spin$^c$ Killing spinors or imaginary generalized Spin$^c$ Killing spinors, providing that the dimension of the manifold is greater or equal to 4. Moreover, we classify Riemannian Spin$^c$ manifolds carrying imaginary and imaginary generalized Killing spinors.

preprint2013arXivOpen access
Nadine GroßeRoger Nakad
math.DG
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Nadine GroßeRoger Nakad

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