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Contact Structure with Basic Potentials

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Abstract

This paper defines basic potentials for contact structure. Contact manifolds that admit a basic potential are shown to have an additional foliated structure of co-dimension 1. The properties of this new foliation, and its relation to the characteristic vector field, are explored.

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Authors and Affiliations

  1. Centre for Theoretical Physics, University of the Witwatersrand, Private Bag 3, WITS, 2050, South Africa

    F. A. M. Frescura

  2. Department of Mathematics (Pure and Applied), Rhodes University, P.O. Box 94, Grahamstown, 6140, South Africa

    G. Lubczonok

Authors
  1. F. A. M. Frescura
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  2. G. Lubczonok
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Correspondence to F. A. M. Frescura.

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Frescura, F.A.M., Lubczonok, G. Contact Structure with Basic Potentials. Int J Theor Phys 44, 35–42 (2005). https://doi.org/10.1007/s10773-005-1432-3

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  • DOI: https://doi.org/10.1007/s10773-005-1432-3

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