A Donaldson type functional on a holomorphic Finsler vector bundle

conformal vector fields on tangent bundle with a special lift finsler metric*

on a finsler manifold, we define conformal vector fields and their complete lifts and prove that incertain conditions they are homothetic.

Concurrent vector fields on Finsler spaces

In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fi...

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.

ACTA UNIVERSITATIS APULENSIS No 18/2009 ON VECTOR-BUNDLE VALUED COHOMOLOGY ON COMPLEX FINSLER MANIFOLDS

In this paper we define a complex adapted connection of type Bott on vertical bundle of a complex Finsler manifold. When this connection is flat we get a vertical vector valued cohomology. The notions are introduced by analogy with the real case for foliations. Finally, using the partial Bott connection we give a characterization of strongly Kähler-Finsler manifolds. 2000 Mathematics Subject Cl...

A Note on Finsler Modules