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On automorphism groups of natural contact structures on a bundle of 1-jet functions

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In this paper, the projected contact-affine transformations on the bundle of 1-jet functions over a smooth manifold is studied. We have found the maximum dimension of the Lie group of projected contact-affine transformations of the natural contact-affine structure.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Moscow, Russia

    N. A. Tyapin

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  1. N. A. Tyapin
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 78, Partial Differential Equations and Optimal Control, 2012.

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Tyapin, N.A. On automorphism groups of natural contact structures on a bundle of 1-jet functions. J Math Sci 189, 324–333 (2013). https://doi.org/10.1007/s10958-013-1190-3

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  • DOI: https://doi.org/10.1007/s10958-013-1190-3

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