Finsler geometry is an important extension of Riemann geometry, in which to each point the spacetime manifold arbitrary internal variable associated. Interesting geometries, with many physical applications, are Randers and Kropina type respectively. A subclass geometries represented by osculating spaces, a function base coordinates only. In one introduces Barthel connection, has remarkable prop...

The parameterised post-Newtonian (PPN) formalism is a weak-field slow-motion approximation for both GR and some of its generalisations. It permits various parameterisations the motion, among which are Lagrange-type Gauss-type orbital equations. Often, these equations developed under Lagrange constraint, makes evolving elements parameterise instantaneous conics tangent to orbit. Arbitrary mathem...

In an earlier paper [4] the problem of vicious random walkers on a d-dimensional directed lattice was considered. \Vicious walkers" describes the situation in which two or more walkers arriving at the same lattice site annihilate one another. Accordingly, the only allowed con gurations are those in which contacts are forbidden. Alternatively expressed as a static rather than dynamic problem, vi...