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V. Balan and S. Lebedev, “On the Legendre Transform and Hamiltonian Formalism in Berwald-Moor Geometry,” Differential Geometry-Dynamical Systems, Vol. 12, No. 1, 2010, pp. 4-11.

has been cited by the following article:

• TITLE: Geometrical Models of the Locally Anisotropic Space-Time

  AUTHORS: V. Balan, G. Yu. Bogoslovsky, S. S. Kokarev, D. G. Pavlov, S. V. Siparov, N. Voicu

  KEYWORDS: Lorentz-, Poincare- and Gauge Symmetry; Spontaneous Symmetry Breaking; Alternative Gravity Theories; Space-Time Anisotropy; Finsler Differential Geometry

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.9A, September 28, 2012

  ABSTRACT: Along with the construction of non-Lorentz-invariant effective field theories, recent studies which are based on geometric models of Finsler space-time become more and more popular. In this respect, the Finslerian approach to the problem of Lorentz symmetry violation is characterized by the fact that the violation of Lorentz symmetry is not accompanied by a violation of relativistic symmetry. That means, in particular, that preservation of relativistic symmetry can be considered as a rigorous criterion of the viability for any non-Lorentz-invariant effective field theory. Although this paper has a review character, it contains (with few exceptions) only those results on Finsler extensions of relativity theory, that were obtained by the authors.