Symmetries of Cauchy-Riemann spaces

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

Download PDF:
_{Sorry, we are unable to provide the full text but you may find it at the following location(s):}

http://citeseerx.ist.psu.edu/v... (external link)

http://www.fuw.edu.pl/%7Enurow... (external link)