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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 216, 12 pp.
DOI: https://doi.org/10.20948/prepr-2018-216 (Mi ipmp2575) 		 
Dynamics of particle systems and kinetic equations in Weyl geometry space

N. N. Fimin, V. M. Chechetkin
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DOI: https://doi.org/10.20948/prepr-2018-216
Abstract: The basic properties of the Weyl geometry, which generalizes the space-time geometry of the General Theory of Relativity, are described. It is shown that particle dynamics in Weyl space can be formulated in terms of Lagrangian geometry. A method for constructing kinetic equations in Weyl space is considered, and their connections with equations of Lagrangian manifolds is established.
Keywords: Lagrange geometry, Weyl geometry, kinetic equations, metric potential.
Funding agency Grant number
Russian Foundation for Basic Research 16-02-00656_а
Russian Academy of Sciences - Federal Agency for Scientific Organizations 28
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: N. N. Fimin, V. M. Chechetkin, “Dynamics of particle systems and kinetic equations in Weyl geometry space”, Keldysh Institute preprints, 2018, 216, 12 pp.
Citation in format AMSBIB
\Bibitem{FimChe18}
\by N.~N.~Fimin, V.~M.~Chechetkin
\paper Dynamics of particle systems and kinetic equations in Weyl geometry space
\jour Keldysh Institute preprints
\yr 2018
\papernumber 216
\totalpages 12
\mathnet{http://mi.mathnet.ru/ipmp2575}
\crossref{https://doi.org/10.20948/prepr-2018-216}
\elib{https://elibrary.ru/item.asp?id=36376145}
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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