On manifolds satisfying some curvature conditions
On manifolds with connection
On Martinet's singular symplectic structures
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 minimal generic submanifolds immersed in
We give a pinching theorem for a compact minimal generic submanifold with flat normal connection immersed in an odd-dimensional sphere with standard Sasakian structure.
On minimal homothetical hypersurfaces
We give a classification of minimal homothetical hypersurfaces in an (n+1)-dimensional Euclidean space. In fact, when n ≥ 3, a minimal homothetical hypersurface is a hyperplane, a quadratic cone, a cylinder on a quadratic cone or a cylinder on a helicoid.
On natural metrics on tangent bundles of Riemannian manifolds
There is a class of metrics on the tangent bundle of a Riemannian manifold (oriented , or non-oriented, respectively), which are ’naturally constructed’ from the base metric [Kow-Sek1]. We call them “-natural metrics" on . To our knowledge, the geometric properties of these general metrics have not been studied yet. In this paper, generalizing a process of Musso-Tricerri (cf. [Mus-Tri]) of finding Riemannian metrics on from some quadratic forms on to find metrics (not necessary Riemannian)...
On natural para-Hermitian structures on twisted products of Lie groups
This survey article presents certain results concerning natural left invariant para-Hermitian structures on twisted (especially, semidirect) products of Lie groups.
On nonlinear connections in higher order Lagrange spaces.
On normally flat Einstein submanifolds.
On null geodesic collineations in some Riemannian spaces
On para-Kählerian manifolds and on skew symmetric Killing vector fields carried by .
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 projectable objects on fibred manifolds
The aim of this paper is to study the projectable and -projectable objects (tensors, derivations and linear connections) on the total space of a fibred manifold , where is a normalization of .
On Pseudo Metric Semi-Symmetric Connections
On pseudo metric semi-symmetric connections.
On Quarter-symmetric Metric Connections on a Hyperbolic Kaehlerian Space
On quasi-Riemannian fiber manifold