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Kowalski, O. and Sekizawa, M. (1988) Natural Transformations of Riemannian Metrics on Manifolds to Metrics on Tangent Bundles: A Classification. Bulletin of Tokyo Gakugei University Sect 4, 40, 1-29.

has been cited by the following article:

• TITLE: Geometric Aspects of the Liouville and Vlasov Equations Theory in the Phase Space

  AUTHORS: Nikolay N. Fimin

  KEYWORDS: Asaki Metric, Einstein-Hilbert Action, Vlasov-Einstein Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.11, November 3, 2025

  ABSTRACT: The article discusses the method of obtaining from general relativistic actions for systems of interacting massive charged particles the corresponding Vlasov-type equations. It is shown that the type of action depends on both the impulse/speed representation in the components of the integral core actions, as well as from the full metric of the phase space of the system.