Conformal Killing vectors in nonexpanding -spaces with

Overview & Synopsis

General structure of nonexpanding hyperheavenly spaces is presented. We find conformal Killing equations and their integrability conditions in spinorial formalism. Reduction of Killing equations to one master equation is presented. We generalize the Killing problem on the case of nonzero cosmological constant and conformal Killing factor . Finally, an example of the complex [ N ] ⊗ [ N ] space with the conformal Killing vector is considered and respective metric is explicitly given.