Abstract
We present a generalization of Penrose’s twistor theory based on the geometry of rational curves in complex manifolds. The analytical counterpart of this complex geometry consists, in the three simplest cases, of a system of differential equations closely connected with Einstein’s equations.
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© 1982 Spring-Verlag
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Hitchin, N.J. (1982). Complex manifolds and Einstein’s equations. In: Doebner, HD., Palev, T.D. (eds) Twistor Geometry and Non-Linear Systems. Lecture Notes in Mathematics, vol 970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066025
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DOI: https://doi.org/10.1007/BFb0066025
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