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KIAM Preprint № 216, Moscow, 2018
Authors: Fimin N.N., Chechetkin V.M.
Dynamics of particle systems and kinetic equations in Weyl geometry space
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
Publication language: russian,  pages: 12
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Fimin Nikolay Nikolaevich,  orcid.org/0000-0003-2629-5380KIAM RAS
  • Chechetkin Valery Mihailovich,  orcid.org/0000-0002-5241-7962KIAM RAS