Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", 1981, Volume 17, Pages 57–111 (Mi intd48)  
This article is cited in 11 scientific papers (total in 12 papers)

The Penrose transform and complex integral geometry

S. G. Gindikin, G. M. Henkin
Full-text PDF (2848 kB) Citations (12)
Abstract: A survey is given of results on the representation of solutions of systems of massless equations in terms of solutions of the Cauchy–Riemann equations on the space of Penrose twisters. A detailed introduction to the theory of twistors is given. The basic integral transform — the Penrose transformation — is investigated by means of complex integral geometry. Other approaches to the theory of twistors are discussed and compared. In addition, the Yang–Mills equation is considered from the point of view of nonlinear Cauchy–Riemann equations.
English version:
Journal of Soviet Mathematics, 1983, Volume 21, Issue 4, Pages 508–551
DOI: https://doi.org/10.1007/BF01084285
Bibliographic databases:
UDC: 514.763.42:517.986.64
Language: Russian
Citation: S. G. Gindikin, G. M. Henkin, “The Penrose transform and complex integral geometry”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 17, VINITI, Moscow, 1981, 57–111; J. Soviet Math., 21:4 (1983), 508–551
Citation in format AMSBIB
\Bibitem{GinHen81}
\by S.~G.~Gindikin, G.~M.~Henkin
\paper The Penrose transform and complex integral geometry
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.
\yr 1981
\vol 17
\pages 57--111
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd48}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=628976}
\zmath{https://zbmath.org/?q=an:0507.53046|0482.53053}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 21
\issue 4
\pages 508--551
\crossref{https://doi.org/10.1007/BF01084285}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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