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Lobachevskii Journal of Mathematics

, Volume 30, Issue 1, pp 81–88 | Cite as

Imaginary Killing spinors on (2, n − 2)-manifolds

Article

Abstract

In this paper we prove that a (2, n − 2)-manifold admitting an imaginary Killing spinor with nontrivial Dirac current, is at least locally a codimension one warped product with a special warping function. Hence, a (2, 2)-manifold admitting such an imaginary Killing spinor is Einstein iff it is conformally flat.

Key words and phrases

Killing Spinors 

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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of SciencesVali-E-Asr University of RafsanjanRafsanjanIran

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