New commutation formulas in the non-symmetric affine connexion space.
New Special Geodesic Mappings of Generalized Riemannian Spaces
On a class of even-dimensional manifolds structured by an affine connection.
On a classification of almost geodesic mappings of affine connection spaces
On a linear family of affine connections.
On a special almost geodesic mapping of third type of affine spaces.
On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles
On complete lifts of reductive homogeneous spaces and generalized symmetric spaces
On -complex Finsler spaces.
On equitorsion geodesic mappings of general affine connection spaces
On equitorsion holomorphically projective mappings of generalized Kählerian spaces
In this paper we investigate holomorphically projective mappings of generalized Kählerian spaces. In the case of equitorsion holomorphically projective mappings of generalized Kählerian spaces we obtain five invariant geometric objects for these mappings.
On -planar mappings of affine-connection spaces with infinite dimension
On geodesic lines of metric semi-symmetric connection on Riemannian and hyperbolic Kaehlerian spaces.
On holomorphically projective mappings from equiaffine generally recurrent spaces onto Kählerian spaces
In this paper we consider holomorphically projective mappings from the special generally recurrent equiaffine spaces onto (pseudo-) Kählerian spaces . We proved that these spaces do not admit nontrivial holomorphically projective mappings onto . These results are a generalization of results by T. Sakaguchi, J. Mikeš and V. V. Domashev, which were done for holomorphically projective mappings of symmetric, recurrent and semisymmetric Kählerian spaces.
On metrizability of locally homogeneous affine 2-dimensional manifolds
In [19] we proved a theorem which shows how to find, under particular assumptions guaranteeing metrizability (among others, recurrency of the curvature is necessary), all (at least local) pseudo-Riemannian metrics compatible with a given torsion-less linear connection without flat points on a two-dimensional affine manifold. The result has the form of an implication only; if there are flat points, or if curvature is not recurrent, we have no good answer in general, which can be also demonstrated...
On Metrizable Locally Homogeneous Connections in Dimension
We discuss metrizability of locally homogeneous affine connections on affine 2-manifolds and give some partial answers, using the results from [Arias-Marco, T., Kowalski, O.: Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds. Monatsh. Math. 153 (2008), 1–18.], [Kowalski, O., Opozda, B., Vlášek, Z.: A classification of locally homogeneous connections on 2-dimensional manifolds vis group-theoretical approach. CEJM 2, 1 (2004), 87–102.], [Vanžurová,...
On null geodesic collineations in some Riemannian spaces
On parallel vector fields of subbundles of vector bundles with linear and nonlinear connections.
On para-Nordenian structures
The aim of this paper is to investigate para-Nordenian properties of the Sasakian metrics in the cotangent bundle.
On recurrent space with respect to metric semi-symmetric connection