Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 439

Zeros of Conformal Vector Fields and Twistor Spinors in Lorentzian Geometry

Felipe Leitner

We study the zero set of conformal vector fields on Lorentzian manifolds that have properties like the associated conformal vector field of a twistor spinor. We prove that locally the zero set of such conformal vector fields lies on a lightlike smooth geodesic.

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