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The first formal neighbourhood of ambitwistor space for curved space-time

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Abstract

An analogue of the first neighbourhood of ambitwistor space is constructed for curved space-time, and certain analytic cohomology groups of this neighbourhood are shown to correspond to the solution spaces of the wave and Klein-Gordon equations.

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References

  1. 1.

    Eastwood, M.G., ‘Ambitwistors’, Twistor Newsletter 9, Oxford 1979.

  2. 2.

    Griffiths, P., Am. J. Math. 88, 366 (1966).

  3. 3.

    Manin, Yu.I., Preprint, Steklov Institute, 1981.

  4. 4.

    Witten, E., Phys. Lett. 78B, 394 (1978).

  5. 5.

    Isenberg, J., Yasskin, P., and Green, P., Phys. Lett. 78B, 462 (1978).

  6. 6.

    Lebrun,C.R., ‘Spaces of Complex Geodesics and Related Structures’, D.Phil. Thesis, Oxford, 1980.

  7. 7.

    Penrose, R., ‘Structure of Space-Time’, in C.DeWitt and J.Wheeler (eds.) Battelle Rencontres 1967, Benjamin, New York, 1968.

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Lebrun, C. The first formal neighbourhood of ambitwistor space for curved space-time. Letters in Mathematical Physics 6, 345–354 (1982). https://doi.org/10.1007/BF00419314

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Keywords

  • Statistical Physic
  • Group Theory
  • Solution Space
  • Cohomology Group
  • Formal Neighbourhood