On Euclidean connections in a Finsler manifold

On the Vertical Bundle of a Pseudo-finsler Manifold

We define the Liouville distribution on the tangent bundle of a pseudo-Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.

On images of continuous functions from a compact manifold to Euclidean space

Geodesics on the Indicatrix of a Complex Finsler Manifold

In this note the geometry of the indicatrix (I, L̃) is studied as a hypersurface of a complex Finsler space (M,L). The induced Chern-Finsler and Berwald connections are defined and studied. The induced Berwald connection coincides with the intrinsic Berwald connection of the indicatrix bundle. We considered a special projection of a geodesic curve on a complex Finsler space (M,L), called the ind...

0 Extrema of p - energy functional on a Finsler manifold

In §1 the authors present the basic properties of the scalar product along a curve on a Finsler manifold. In §2 they investigate the variational formulae for the p-energy functional (p ∈ R − {0}). This concept generalises the notions of length (p = 1) and energy (p = 2) of a curve. §3 analyses the extrema of p-energy when the Finsler space has constant curvature. (F3) the fundamental tensor g i...

Finsler Connections in Generalized Lagrange Spaces

The Chern–Rund connection from Finsler geometry is settled in the generalized Lagrange spaces. For the geometry of these spaces, we refer to [5]. Mathematics Subject Classification: 53C60