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Complex manifolds and Einstein’s equations

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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© 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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11972-2

  • Online ISBN: 978-3-540-39418-1

  • eBook Packages: Springer Book Archive