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.
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 new characterization of inextensible flows of space-like curves in de Sitter space
Elastica and inextensible flows of curves play an important role in practical applications. In this paper, we construct a new characterization of inextensible flows by using elastica in space. The inextensible flow is completely determined for any space-like curve in de Sitter space [...] S 1 3 . Finally, we give some characterizations for curvatures of a space-like curve in de Sitter space [...] S 1 3 .
On Sectional Curvature of Indefinite Metrics, II.
On some class of pseudosymmetric warped products
We present curvature properties of pseudosymmetry type of some warped products of semi-Riemannian spaces of constant curvature.
On some properties of induced almost contact structures
Real affine hypersurfaces of the complex space with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) are studied. Some properties of the induced almost contact structures are proved. In particular, we prove some properties of the induced structure when the distribution is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or ξ-invariant are also given.
On Spacelike Hypersurfaces with Constant Mean Curvature in the de Sitter Space.
On Super Quasi Einstein Manifold
On the automorphism group of a compact Lorentz manifold and other geometric.
On the casual structure of homogeneous manifolds.
On the Chern-type problem in Kähler geometry.
On the Classification of Lorentzian Sasaki Space Forms
On the Converse of Weyl's Conformal and Projective Theorems
On the dual Darboux rotation axis of the timelike dual space curve.
On the existence of f-recurrent (LCS)n-manifolds.
On the existence of geodesics in static Lorentz manifolds with singular boundary
On the existence of multiple geodesics in static space-times
On the exponential function of an ordered manifold with affine connection.
On the Gauss curvature of maximal surfaces in the 3-dimensional Lorentz-Minkowski space.
On the Gauss image of a spacelike hypersurface with constant mean curvature in Minkowski space.