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Conformal properties of harmonic spinors and lightlike geodesics in signature (1,1)

✍ Scribed by Frederik Witt

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 214 KB
Volume: 46
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(02)00151-1

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✦ Synopsis

We are studying the harmonic and twistor equation on Lorentzian surfaces, that is a two-dimensional orientable manifold with a metric of signature (1, 1). We will investigate the properties of the solutions of these equations and try to relate the conformal invariant dimension of the space of harmonic and twistor spinors to the natural conformal invariants given by the Lorentzian metric. We will introduce the notion of semi-conformally flat surfaces and establish a complete classification of the possible dimensions for this family.

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