For a torsion-free affine connection on a given manifold, which does not necessarily arise as
the Levi–Civita connection of any pseudo-Riemannian metric, it is still possible that it …

In this paper, for a given spray $ S $ on an $ n $-dimensional manifold $ M $, we investigate
the geometry of $ S $-invariant functions. For an $ S $-invariant function $\P $, we associate …

We clarify, for SO (3)-symmetric 4-dimensional Berwald-Finsler spaces of indefinite
signature, the question of the existence of an affinely equivalent pseudo-Riemannian metric …

In this paper, we investigate the existence of parallel 1-forms on specific Finsler manifolds.
We demonstrate that Landsberg manifolds admitting a parallel 1-form have a mean Berwald …

In this paper, using the Finslerian settings, we study the existence of parallel one forms (or,
equivalently parallel vector fields) on a Riemannian manifold. We show that a parallel one …

The aim of the present paper is to provide an intrinsic investigation of special Finsler spaces
of Hp-scalar curvature and of Hp-constant curvature. Characterizations of such spaces are …

For a 2-dimensional non-flat spray we associate a Berwald frame and a 3-dimensional
distribution that we call the Berwald distribution. The Frobenius integrability of the Berwald …

The aim of the present paper is to provide an\emph {intrinsic} investigation of special Finsler
spaces of $ H_ {p} $-scalar curvature and of $ H_ {p}\, $-constant curvature …

We study conformal transformations in the context of local absolute parallelism geometry
and find out some new conformally invariant geometric objects. We establish the existence …

In this paper, the linear one form deformation of a flat spray is investigated. The metrizability
of the deformation spray is characterized. New projectively flat Reimannain metrics are …