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Symmetries of Cauchy-Riemann spaces

By Pawel Nurowski and Jacek Tafel

Abstract

Abstract. We simplify and generalize Cartan's results on Cauchy-Riemann spaces admitting continuous groups of automorphisms. We describe all such spaces in terms of local coordinates. Cauchy-Riemann spaces [ 1] appear in physics in the context of algebraically special solutions of the Einstein equations and null solutions of the Maxwell (or Yang-Mills) equations [2-4]. In both cases, spacetime admits a shearfree geodesic null congruence. This property is equivalent to the following condition on the metric tensor [5

Year: 1988
DOI identifier: 10.1007/bf00416569
OAI identifier: oai:CiteSeerX.psu:10.1.1.180.7336
Provided by: CiteSeerX
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