TITLE:
Kinetics in the Weyl and Lagrange Spaces
AUTHORS:
Nikolay N. Fimin
KEYWORDS:
Lagrange Geometry, Scalar Potential, Weyl Manifold
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.12,
December
12,
2025
ABSTRACT: This article discusses a method for deriving of Liouville equations (as a basis for equations with a self-consistent field) for a system of particles on a Weyl manifold, a generalization of a Riemannian manifold, taking into account an additional scalar potential. A connection is established between the constructed kinetics in Weyl space and the kinetics in Lagrange space.