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Twistor surfaces and right-flat spaces

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Abstract

The connection between the deformed twistor space of Penrose and Plebanski's form for the general right-flat metric is explored. A Hamiltonian formalism for obtaining the twistor surfaces in a right-flat space with Plebanski's Ω-function as Hamiltonian is obtained.

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References

  1. Penrose, R. (1976).Gen. Rel. Grav.,7, 31.

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  2. Plebanski, J. (1975).J. Math. Phys.,16, 3403.

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  3. Penrose, R. (1968). InBattelle Rencontres, ed. C. deWitt and B. deWitt (Benjamin, New York).

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  4. Kodaira, K. (1963).Amer. J. Math.,85, 79.

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  5. Sparling, G. A. J., private communication.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Pittsburgh, 15260, Pittsburgh, Pennsylvania

    J. R. Porter & K. P. Tod

Authors
  1. E. T. Newman
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  2. J. R. Porter
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  3. K. P. Tod
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Department of Physics and Astronomy

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Newman, E.T., Porter, J.R. & Tod, K.P. Twistor surfaces and right-flat spaces. Gen Relat Gravit 9, 1129–1142 (1978). https://doi.org/10.1007/BF00756579

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  • DOI: https://doi.org/10.1007/BF00756579

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