Complex manifolds and Einstein’s equations

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type , Article 01 Jan 1982Publisher:Springer Berlin Heidelberg

Authors: Hitchin, N;

doi: 10.1007/bfb0066025

Complex manifolds and Einstein’s equations

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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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University of Oxford
United Kingdom

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