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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Decomposition of a vector field in a parallelized induced bundle
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by Oleg S. Svidersky PDF
Proc. Amer. Math. Soc. 125 (1997), 2485-2491 Request permission

Abstract:

The projective method of decomposing of a vector field is applied to constructing a parallelized Lie group action in the framework of Chronometric Theory. An example is considered.
References
  • Stephen M. Paneitz and Irving E. Segal, Analysis in space-time bundles. I. General considerations and the scalar bundle, J. Functional Analysis 47 (1982), no. 1, 78–142. MR 663834, DOI 10.1016/0022-1236(82)90101-X
  • Svidersky O.S., “Oscillator Parallelization of the Scalar Induced Bundle", Sibirsky Matematichesky Zhurnal, Vol. 36, No. 5(213), 1995., pp. 1122-1229.
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Additional Information
  • Oleg S. Svidersky
  • Email: svidersk@math.uiowa.edu
  • Received by editor(s): October 19, 1995
  • Received by editor(s) in revised form: February 22, 1996
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2485-2491
  • MSC (1991): Primary 22E30
  • DOI: https://doi.org/10.1090/S0002-9939-97-03869-0
  • MathSciNet review: 1389539