Classification of the Killing vectors in nonexpanding -spaces with Λ

Abstract

Conformal Killing equations and their integrability conditions for nonexpanding hyperheavenly spaces with Λ are studied. Classification of homothetic and isometric Killing vectors in nonexpanding hyperheavenly spaces with Λ and homothetic Killing vectors in heavenly spaces is given. Some metrics belonging to the two-sided Walker class are found. An example of the Lorentzian real slice of the type [N] ⊗ [N] is explicitly given.