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The ambitwistor program

  • James Isenberg
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 280)

Keywords

Twistor Space Null Geodesic Twistor Theory Gravitational Field Equation Orthonormal Frame Field 
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References

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    Comprehensive reviews of twistor theory appear in:Penrose, R. and Ward, R.S., “Twistors for Flat and Curved Spacetime” in General Relativity and Gravitation (ed. A. Held), Plenum, 1980; Hughston, L.P. and Ward, R.S., Advances in Twistor Theory, Pitman, 1979; Wells, R.O., Complex Geometry in Mathematical Physics, SMS #78, Les Presses de l'Univ. de Montreal, 1982; Penrose, R., and Rindler, W., Spinors and Space-time (2 volumes) Cambridge, 1984–1985; Hugget, S.A., and Tod, K.P., An Introduction to Twistor Theory, Cambridge, 1985.Google Scholar
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    For a discussion of CM, see Penrose and Rindler, ref. [1].Google Scholar
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    These spaces, as well as others which play an important role in the twistor programme, are all “flag manifolds” of T = C4. See Wells, R., Complex Geometry in Mathematical Physics, Les Presses de L'Universite de Montreal, 1982.Google Scholar
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    It would be interesting if someone were to apply some of Segal's ideas on quantum field to the space of classical string field solutions which arises in Shaw's work. See Segal, I., J. Math. Phys. 1, 468, 1959.Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • James Isenberg
    • 1
  1. 1.Dept. of MathematicsUniversity of OregonEugeneUSA

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