One way to deal with physical problems on nowhere differentiable fractals is the map** of
these problems into the corresponding problems for continuum with a proper fractal metric …

We introduce the notion of a standard static Finsler spacetime ℝ× M where the base M is a
Finsler manifold. We prove some results which connect causality with the Finslerian …

We study Finsler spacetimes and Killing vector fields taking care of the fact that the
generalised metric tensor associated to the Lorentz–Finsler function L is in general well …

For a system of second order differential equations we determine a nonlinear connection
that is compatible with a given generalized Lagrange metric. Using this nonlinear …

We consider a manifold endowed with a metric tensor in its tangent bundle pulled back by its
own projection. We shall give necessary and sufficient conditions for a vector field to be an …

Well-known notions from tangent bundle geometry, namely nonlinear connections and
semisprays, are extended to bundle-type tangent manifolds. As main subject, the …

An intrinsic characterization is given of the concept of linear connection along the tangent
bundle projection τ: TM→ M. The main observation thereby is that every such connection D …

In this survey we approach some aspects of tangent bundle geometry from a new viewpoint.
After an outline of our main tools, ie, the pull-back bundle formalism, we give an overview of …

Berwald's covariant derivative. 1 Before entering into the contents of this dissertation, it is
useful to explain the original context in which 'the Berwald-type connection'was defined. The …

We consider a manifold endowed with a metric tensor in the pull-back bundle of its tangent
bundle over its own projection. We shall give necessary and sufficient conditions for a vector …