Using the reviewed Riemann-Liouville fractional derivative we define the bundle αk E = Osc(M) and highlight geometrical structures with a geometrical character. Also, we introduce the fractional osculator Lagrange space of k order and the main structures on it. The results are applied at the k order fractional prolongation of Lagrange, Finsler and Riemann fractional structures. Mathematics Subj...

The purpose of the present paper is to investigate the various kinds of hypersurfaces of Finsler space with special (α, β) metric α + β n+1 αn which is a generalization of the metric α+ β 2 α consider in [9]. 2000 Mathematics Subject Classification: 53B40, 53C60.

Anisotropic cosmological models with a generalized Chaplygin gas in a Finsler space-time geometry are considered and a class of exact solutions as well as cosmological parameters behaviors are studied. Moreover, the viability and stability criteria for a general solution are also discussed.

After recalling the structure equations of Finsler structures on surfaces, I define a notion of ‘generalized Finsler structure’ as a way of micro-localizing the problem of describing Finsler structures subject to curvature conditions. I then recall the basic notions of path geometry on a surface and define a notion of ‘generalized path geometry’ analogous to that of ‘generalized Finsler structu...

In the present paper, we determine nonholonomic Frames for Finsler space with special (α, β) -metrics of various type and also observed frames expesses as a Guage Transformation metric.

Based on the analogue spacetime programme, and many other ideas currently mooted in “quantum gravity”, there is considerable ongoing speculation that the usual pseudoRiemannian (Lorentzian) manifolds of general relativity might eventually be modified at short distances. Two specific modifications that are often advocated are the adoption of Finsler geometries (or more specifically, pseudo-Finsl...