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Complex manifolds and Einstein’s equations

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

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.

Keywords

Vector Bundle Normal Bundle Projective Line Conformal Structure Twistor Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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