Finsler connections in anholonomic geometry of a Kropina space

  • P.L. Antonelli
  • I. Bucataru

Abstract

Following the insights from previous work on Holland's frame for Randers spaces and its application to electrodynamics, a canonical anholonomic Finsler frame is defined for Kropina spaces. These spaces arise in Ingarden's thermodynamics and Shibata's Finsler Theory of dissipative classical mechanics. Using this frame two Finsler connections are determined, one being just Cartan's connection in anholonomic form and the other being the analogue of the crystallographic connection on Randers space. The possibility arises that concepts on plastic deformation, relevant to Holland's work, may provide new physical insights into thermodynamics.
Published
2001-02-01
Section
Articles