On Hb-flat Hyperbolic Kaehlerian Spaces
On Hermitian manifold with torsion.
Analytic vector fields in a Hermitian manifold have been studied by various authors [3, 4, 6 & 7]. Boothby [2] and Goldberg [1] extended some of these results to Hermitian manifold with torsion. In this paper we define and study p-pseudo-analytic vector fields, which when p = 1, reduce to analytic vector fields as given in [1] and [2]. A necessary and sufficient condition for a vector field to be covariant (contravariant) p-pseudo-analytic has been obtained and their relationship with p-pseudo-harmonic...
On Holomorphic and Anti-Holomorphic Sectional Curvature of Indefinite Kähler Manifolds of Real Dimension n... 6.
On Hyper-Kähler Manifolds of Type A... .
On Kähler-Einstein metrics on certain Kahler manifolds with C1 (M) > 0.
On n class of capacities on complex manifolds endowed with an hermitian structure and their relation to elliptic and hyperbolic quasiconformal mappings [Book]
On naturally reductive left-invariant metrics of
On any real semisimple Lie group we consider a one-parameter family of left-invariant naturally reductive metrics. Their geodesic flow in terms of Killing curves, the Levi Civita connection and the main curvature properties are explicitly computed. Furthermore we present a group theoretical revisitation of a classical realization of all simply connected 3-dimensional manifolds with a transitive group of isometries due to L. Bianchi and É. Cartan. As a consequence one obtains a characterization of...
On p-analytic tensors.
On pseudosymmetric para-Kählerian manifolds.
On real submanifolds of and (Preliminary communication)
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 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