Abstract
It is shown that self-dual solutions of Einstein's equations, with cosmological constant λ, correspond to certain complex manifolds. This result generalizes the work of Penrose [1], who dealt with the case λ=0.
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Communicated by R. Geroch
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Ward, R.S. Self-dual space-times with cosmological constant. Commun.Math. Phys. 78, 1–17 (1980). https://doi.org/10.1007/BF01941967
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DOI: https://doi.org/10.1007/BF01941967