8 papers · 1 filter
Finsler metrics and semi-symmetric compatible linear connections
Csaba Vincze, Márk Oláh
Finsler metrics are direct generalizations of Riemannian metrics such that the quadratic Riemannian indicatrices in the tangent spaces of a manifold are replaced by more general co…
On generalized Berwald manifolds of dimension three
Csaba Vincze, Márk Oláh
A linear connection on a Finsler manifold is called compatible to the Finsler function if its parallel transports preserve the Finslerian length of tangent vectors. Generalized Ber…
On the divergence representation of the Gauss curvature of Riemannian surfaces and its applications
Cs. Vincze, M. Oláh, L. M. Alabdulsada
In the paper we consider Riemannian surfaces admitting a global expression of the Gauss curvature as the divergence of a vector field. It is equivalent to the existence of a metric…
On the extremal compatible linear connection of a Randers space
Csaba Vincze, Márk Oláh
A linear connection on a Finsler manifold is called compatible to the metric if its parallel transports preserve the Finslerian length of tangent vectors. Generalized Berwald manif…
On the extremal compatible linear connection of a generalized Berwald manifold
Csaba Vincze
Generalized Berwald manifolds are Finsler manifolds admitting linear connections such that the parallel transports preserve the Finslerian length of tangent vectors (compatibi\-li\…
On compatible linear connections with totally anti-symmetric torsion tensor of three-dimensional generalized Berwald manifolds
Csaba Vincze
Generalized Berwald manifolds are Finsler manifolds admitting linear connections such that the parallel transports preserve the Finslerian length of tangent vectors. By the fundame…