Yang-Mills fields and gauge gravity on generalized Lagrange and Finsler spaces
type: Item
instance of: scholarly article
title: Yang-Mills fields and gauge gravity on generalized Lagrange and Finsler spaces
zbMATH Open document ID: 0842.53020
DOI: 10.1007/BF00674078
author: Sergiu I. Vacaru
author: Yurii Goncharenko
published in: International Journal of Theoretical Physics
publication date: 1995-12-05T00:00:00Z
review text: In the framework of the theory of linear connections in vector bundles (with semisimple structural groups) on generalized Lagrange spaces, a geometrical approach to interactions of Yang-Mills fields on spaces with local anisotropy is formulated. The geometrical formalism is extended in a manner including theories with nonsemisimple groups which permit a unique fiber bundle treatment for both locally anisotropic Yang-Mills and gravitational interactions. One of the most important results of the paper is formulated as a theorem stating that almost Hermitian Lagrange gravity -- described in \textit{R. Miron} and \textit{M. Anastasiei} [The geometry of Lagrange spaces: theory and applications. Fundamental Theories of Physics, 59, Dordrecht: Kluwer Academic Publishers (1994; Zbl 0831.53001)], is equivalent to a gaugelike theory in the bundle of affine adapted frames on generalized Lagrange spaces.
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 83C47
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 823580
zbMATH Keywords: Finsler spaces
zbMATH Keywords: generalized Lagrange geometry
zbMATH Keywords: Yang-Mills equations
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00674078
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description: scientific article; zbMATH DE number 823580