Abstract
All Killing symmetries in complex $\mathcal {H}$H-spaces with Λ in terms of the Plebański-Robinson-Finley coordinate system are found. All $\mathcal {H}$H-metrics with Λ admitting a null Killing vector are explicitly given. It is shown that the problem of non-null Killing vector reduces to looking for solution of the Boyer-Finley-Plebański (Toda field) equation.
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