On Some 4-Dimensional Compact Einstein Almost Kähler Manifolds.
On some compact almost Kähler locally symmetric space.
On some Ricci-flat metrics of cohomogeneity two on complex line bundles.
On Strongly Pseudo-convex Kähler Manifolds.
On the approximation of functions on a Hodge manifold
If is a Hodge manifold and we construct a canonical sequence of functions such that in the topology. These functions have a simple geometric interpretation in terms of the moment map and they are real algebraic, in the sense that they are regular functions when is regarded as a real algebraic variety. The definition of is inspired by Berezin-Toeplitz quantization and by ideas of Donaldson. The proof follows quickly from known results of Fine, Liu and Ma.
On the bochner conformal curvature of Kähler-Norden manifolds
Using the one-to-one correspondence between Kähler-Norden and holomorphic Riemannian metrics, important relations between various Riemannian invariants of manifolds endowed with such metrics were established in my previous paper [19]. In the presented paper, we prove that there is a strict relation between the holomorphic Weyl and Bochner conformal curvature tensors and similarly their covariant derivatives are strictly related. Especially, we find necessary and sufficient conditions for the holomorphic...
On the Cartan-Norden theorem for affine Kähler immersions
In [O2] the Cartan-Norden theorem for real affine immersions was proved without the non-degeneracy assumption. A similar reasoning applies to the case of affine Kähler immersions with an anti-complex shape operator, which allows us to weaken the assumptions of the theorem given in [NP]. We need only require the immersion to have a non-vanishing type number everywhere on M.
On the characteristic function of spaces of constant holomorphic curvature
On the Chern Forms of Kaehler Hypersurfaces in Complex Space Forms.
On the Chern-type problem in a complex projective space.
On the Chern-type problem in Kähler geometry.
On the Cohomology Ring of a Simple Hyperkähler Manifold (On the Results of Verbitsky).
On the Curvature of Compact Hermitian Manifolds.
On the -extension and the Hartogs extension
On the Differentiability of a Distance Function
On the Djrbashian kernel of a Siegel domain
We establish an inversion formula for the M. M. Djrbashian A. H. Karapetyan integral transform (cf. [6]) on the Siegel domain , . We build a family of Kähler metrics of constant holomorphic curvature whose potentials are the -Bergman kernels, α > -1, (in the sense of Z. Pasternak-Winiarski [20] of . We build an anti-holomorphic embedding of in the complex projective Hilbert space and study (in connection with work by A. Odzijewicz [18] the corresponding transition probability amplitudes....
On the existence of bounded holomorphic functions on complete Kähler manifolds.
On the existence of pseudosymmetric Kähler manifolds
It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
On the geometry of complex Grassmann manifold, its noncompact dual and coherent states.
On the Geometry of Moduli Spaces.