Complex manifolds and Einstein’s equations

  • N. J. Hitchin
Twistor Geometry
Part of the Lecture Notes in Mathematics book series (LNM, volume 970)


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.


Vector Bundle Normal Bundle Projective Line Conformal Structure Twistor Space 
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Copyright information

© Spring-Verlag 1982

Authors and Affiliations

  • N. J. Hitchin
    • 1
  1. 1.St. Catherine’s CollegeOxfordEngland

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