A geometrization on dual 1-jet spaces of the time-dependent Hamiltonian of electrodynamics

Authors

  • V. Balan University Politehnica of Bucharest, Romania
  • M. Neagu Transilvania University of Brasov, Romania
  • A. Oana Transilvania University of Brasov, Romania
  • E. Ovsiyuk Mozyr State Pedagogical University named after I.P. Shamyakin, Belarus

DOI:

https://doi.org/10.31926/but.mif.2022.2.64.1.2

Keywords:

dual 1-jet space, time-dependent Hamiltonian of electrodynamics, d-torsions, d-curvatures

Abstract

In this paper, we develop the distinguished Riemannian differential geometry (in the sense of d-connections, d-torsions, d-curvatures, and the geometrical Maxwell-like and Einstein-like equations) for the time-dependent Hamiltonian of momenta which governs the electrodynamics phenomena.

Author Biographies

V. Balan, University Politehnica of Bucharest, Romania

Faculty of Applied Sciences

M. Neagu, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics

A. Oana, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics

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Published

2022-07-06

Issue

Section

MATHEMATICS