-complex Finsler spaces with -metric.
A Cartan-type result for invariant distances and one-dimensional holomorphic retracts.
We derive conditions under which a holomorphic mapping of a taut Riemann surface must be an automorphism. This is an analogue involving invariant distances of a result of H. Cartan. Using similar methods we prove an existence result for 1-dimensional holomorphic retracts in a taut complex manifold.
A framed -structure on tangent manifolds.
A framed structure on the cotangent bundle of a Hamilton space.
A framed f-structure on the tangent bundle of a Finsler manifold
Let (M,F) be a Finsler manifold, that is, M is a smooth manifold endowed with a Finsler metric F. In this paper, we introduce on the slit tangent bundle a Riemannian metric G̃ which is naturally induced by F, and a family of framed f-structures which are parameterized by a real parameter c≠ 0. We prove that (i) the parameterized framed f-structure reduces to an almost contact structure on IM; (ii) the almost contact structure on IM is a Sasakian structure iff (M,F) is of constant flag curvature...
A generalization of the holomorphic flag curvature of complex Finsler spaces.
A metric induced by the geometric interpretation of Rolle's theorem.
A metric inequality for the Thompson and Hilbert geometries.
A new look at Finsler connections and special Finsler manifolds.
A new proof of Szabó's theorem on the Riemann-metrizability of Berwald manifolds.
A Projectively Symmetric Finsler Space.
A recursive scheme of first integrals of the geodesic flow of a Finsler manifold.
A Riemann-Lagrange geometrization for metrical multi-time Lagrange spaces.
A smooth gauge model on tangent bundle.
A structure by conformal transformations of Finsler functions on the projectivized tangent bundle of Finsler spaces with the Chern connection.
Almost Para-contact Finsler Connections on Vector Bundle
Almost para-contact Finsler connections on vector bundle.
An almost paracontact structure on the indicatrix bundle of a Finsler space.
Asymptotically equal generalized distances: induced topologies and -energy of a curve.
Barbilian's metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics
In the present paper we answer two questions raised by Barbilian in 1960. First, we study how far can the hypothesis of Barbilian's metrization procedure can be relaxed. Then, we prove that Barbilian's metrization procedure in the plane generates either Riemannian metrics or Lagrance generalized metrics not reducible to Finslerian or Langrangian metrics.