On generalized recurrent Kaehlerian manifolds of second order I
On geodesic and holomorphically projective mappings of generalized recurrent spaces.
On geodesic lines of metric semi-symmetric connection on Riemannian and hyperbolic Kaehlerian spaces.
On Hb-flat Hyperbolic Kaehlerian Spaces
On holomorphically projective mappings from equiaffine generally recurrent spaces onto Kählerian spaces
In this paper we consider holomorphically projective mappings from the special generally recurrent equiaffine spaces onto (pseudo-) Kählerian spaces . We proved that these spaces do not admit nontrivial holomorphically projective mappings onto . These results are a generalization of results by T. Sakaguchi, J. Mikeš and V. V. Domashev, which were done for holomorphically projective mappings of symmetric, recurrent and semisymmetric Kählerian spaces.
On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds
In this paper we study fundamental equations of holomorphically projective mappings from manifolds with equiaffine connection onto (pseudo-) Kähler manifolds with respect to the smoothness class of connection and metrics. We show that holomorphically projective mappings preserve the smoothness class of connections and metrics.
On holomorphically projective mappings of -Kähler manifolds
In this paper we study fundamental equations of holomorphically projective mappings of -Kähler spaces (i.e. classical, pseudo- and hyperbolic Kähler spaces) with respect to the smoothness class of metrics. We show that holomorphically projective mappings preserve the smoothness class of metrics.
On isometric immersions into complex space forms.
On Kähler metrics in lorentzian manifolds
On locally conformal Kähler space forms.
On real hypersurfaces of type in a complex space form. III.
On sectional and bisectional curvature of the -umbilical submanifolds.
On Some 2-Dimensional Hermitian Manifolds.
On some strictly almost analytic vector fields in tangent bundles
On some types of slant curves in contact pseudo-Hermitian 3-manifolds
We study slant curves in contact Riemannian 3-manifolds with pseudo-Hermitian proper mean curvature vector field and pseudo-Hermitian harmonic mean curvature vector field for the Tanaka-Webster connection in the tangent and normal bundles, respectively. We also study slant curves of pseudo-Hermitian AW(k)-type.
On the embedding of 1-convex manifolds with 1-dimensional exceptional set
In this paper we show that a 1-convex (i.e., strongly pseudoconvex) manifold , with 1- dimensional exceptional set and finitely generated second homology group , is embeddable in if and only if is Kähler, and this case occurs only when does not contain any effective curve which is a boundary.
On the geometry of some para-hypercomplex Lie groups
In this paper, firstly we study some left invariant Riemannian metrics on para-hypercomplex 4-dimensional Lie groups. In each Lie group, the Levi-Civita connection and sectional curvature have been given explicitly. We also show these spaces have constant negative scalar curvatures. Then by using left invariant Riemannian metrics introduced in the first part, we construct some left invariant Randers metrics of Berwald type. The explicit formulas for computing flag curvature have been obtained in...
On the Pseudo-Conformal Geometry of a Kähler Manifold.
On weakly projective symmetric manifolds.
On Weakly -Symmetric Manifolds
The object of the present paper is to study weakly -symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly -symmetric manifold both the decompositions are weakly Ricci symmetric.