On simultaneous integrability of two commuting almost tangent structures
On singular projective deformations of two second class totally focal pseudocongruences of planes.
On singularities of almost periodic functions
On six-dimensional -submanifolds of Cayley algebra
On skew 2-projectable almost complex structures on
We deal with a -tensor field on the tangent bundle preserving vertical vectors and such that is a -tensor field on , where is the canonical almost tangent structure on . A connection on is constructed by . It is shown that if is a -almost complex structure on without torsion then is a unique linear symmetric connection such that and .
On slant submanifolds of -contact metric manifolds
On solutions of the Gołab-Schinzel equation.
On Solvable Generalized Calabi-Yau Manifolds
We give an example of a compact 6-dimensional non-Kähler symplectic manifold that satisfies the Hard Lefschetz Condition. Moreover, it is showed that is a special generalized Calabi-Yau manifold.
On solving the Plateau problem in parametric form.
On solvmanifolds and a conjecture of Benson and Gordon from the Hamiltonian viewpoint.
On Some 2-Dimensional Hermitian Manifolds.
On Some 4-Dimensional Compact Einstein Almost Kähler Manifolds.
On some Akivis - Goldberg Type Metrics
On some Akivis-Goldberg type metrics.
On some algebraic identities and the exterior product of double forms
We use the exterior product of double forms to free from coordinates celebrated classical results of linear algebra about matrices and bilinear forms namely Cayley-Hamilton theorem, Laplace expansion of the determinant, Newton identities and Jacobi’s formula for the determinant. This coordinate free formalism is then used to easily generalize the previous results to higher multilinear forms namely to double forms. In particular, we show that the Cayley-Hamilton theorem once applied to the second...
On some analytical manifolds of constant sectional curvature.
On some applications of Bochner-Schoenberg-Eberlein type theorems
On some causal and conformal groups.
On some class of hypersurfaces with three distinct principal curvatures
We investigate hypersurfaces M in spaces of constant curvature with some special minimal polynomial of the second fundamental tensor H of third degree. We present a curvature characterization of pseudosymmetry type for such hypersurfaces. We also prove that if such a hypersurface is a manifold with pseudosymmetric Weyl tensor then it must be pseudosymmetric.
On some class of nearly conformally symmetric manifolds