Normal almost contact metric manifolds of dimension three
Bochner flat Kahlerian manifolds.
Certain property of the Ricci tensor on Sasakian manifolds
Locally conformal almost cosymplectic manifolds
Vector fields generating certain special transformations
On compact holomorphically pseudosymmetric Kählerian manifolds
For compact Kählerian manifolds, the holomorphic pseudosymmetry reduces to the local symmetry if additionally the scalar curvature is constant and the structure function is non-negative. Similarly, the holomorphic Ricci-pseudosymmetry reduces to the Ricci-symmetry under these additional assumptions. We construct examples of non-compact essentially holomorphically pseudosymmetric Kählerian manifolds. These examples show that the compactness assumption cannot be omitted in the above stated theorem....
On the existence of pseudosymmetric Kähler manifolds
It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
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.
Almost cosymplectic real hypersurfaces in Kähler manifolds
The Schouten-van Kampen Affine Connections Adapted to Almost (Para)Contact Metric Structures
On almost cosymplectic (−1, μ, 0)-spaces
In our previous paper, almost cosymplectic (κ, μ, ν)-spaces were defined as the almost cosymplectic manifolds whose structure tensor fields satisfy a certain special curvature condition. Amongst other results, it was proved there that any almost cosymplectic (κ, μ, ν)-space can be -homothetically deformed to an almost cosymplectic −1, μ′, 0)-space. In the present paper, a complete local description of almost cosymplectic (−1, μ, 0)-speces is established: “models” of such spaces are constructed,...
On almost cosymplectic (κ,μ,ν)-spaces
An almost cosymplectic (κ,μ,ν)-space is by definition an almost cosymplectic manifold whose structure tensor fields φ, ξ, η, g satisfy a certain special curvature condition (see formula (eq1b)). This condition is invariant with respect to the so-called -homothetic transformations of almost cosymplectic structures. For such manifolds, the tensor fields φ, h (), A ( = -∇ξ) fulfill a certain system of differential equations. It is proved that the leaves of the canonical foliation of an almost cosymplectic...
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