Conformal Killing vectors in nonexpanding HH-spaces with Λ

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