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On the Geometry of Variational Principles of Physics

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Abstract

The essentials of the invariant mathematical apparatus used for geometrization of basic variational principles of physics and mechanics are presented. An important connection between the geometry of action functionals and the theory of fiber spaces that provides the mathematical basis for modern gauge theories of fundamental interactions is established.

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Authors and Affiliations

  1. Tomsk State Pedagogical University, Russia

    V. G. Zhotikov

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  1. V. G. Zhotikov
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Zhotikov, V.G. On the Geometry of Variational Principles of Physics. Russian Physics Journal 46, 219–224 (2003). https://doi.org/10.1023/A:1025469307681

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  • DOI: https://doi.org/10.1023/A:1025469307681

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