On curvature collineations on simple conformally recurrent manifolds
On Decomposable Almost Pseudo Conharmonically Symmetric Manifolds
The object of the present paper is to study decomposable almost pseudo conharmonically symmetric manifolds.
On density concomitants of the covariant curvature tensor in the two- and three-dimensional Riemann space
On Deszcz symmetries of Wintgen ideal submanifolds
It was conjectured in [26] that, for all submanifolds of all real space forms , the Wintgen inequality is valid at all points of , whereby is the normalised scalar curvature of the Riemannian manifold and , respectively , are the squared mean curvature and the normalised scalar normal curvature of the submanifold in the ambient space , and this conjecture was shown there to be true whenever codimension . For a given Riemannian manifold , this inequality can be interpreted as follows:...
On equitorsion geodesic mappings of general affine connection spaces
On equitorsion holomorphically projective mappings of generalized Kählerian spaces
In this paper we investigate holomorphically projective mappings of generalized Kählerian spaces. In the case of equitorsion holomorphically projective mappings of generalized Kählerian spaces we obtain five invariant geometric objects for these mappings.
On existence of spacelike surfaces with prescribed boundary.
On -planar mappings of (pseudo-) Riemannian manifolds
We study special -planar mappings between two -dimensional (pseudo-) Riemannian manifolds. In 2003 Topalov introduced -projectivity of Riemannian metrics, . Later these mappings were studied by Matveev and Rosemann. They found that for they are projective. We show that -projective equivalence corresponds to a special case of -planar mapping studied by Mikeš and Sinyukov (1983) and -planar mappings (Mikeš, 1994), with . Moreover, the tensor is derived from the tensor and the non-zero...
On -planar mappings of affine-connection spaces with infinite dimension
On Finsler spaces satisfying the T-condition.
On Finsler spaces satisfying the T-condition. (Short Communication).
On Finslerian hypersurfaces given by -changes.
On Finsler-projective connections. III. (Sur les connexions Finsler-projectives. III.)
On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions
On frames defined by horizontal spaces
On Galilean connections and the first jet bundle
We see how the first jet bundle of curves into affine space can be realized as a homogeneous space of the Galilean group. Cartan connections with this model are precisely the geometric structure of second-order ordinary differential equations under time-preserving transformations - sometimes called KCC-theory. With certain regularity conditions, we show that any such Cartan connection induces “laboratory” coordinate systems, and the geodesic equations in this coordinates form a system of second-order...
On Gauss-Bonnet Theorem
On generalized curvature tensors on some Riemannian manifolds
On generalized Douglas-Weyl Randers metrics
We characterize generalized Douglas-Weyl Randers metrics in terms of their Zermelo navigation data. Then, we study the Randers metrics induced by some important classes of almost contact metrics. Furthermore, we construct a family of generalized Douglas-Weyl Randers metrics which are not -quadratic. We show that the Randers metric induced by a Kenmotsu manifold is a Douglas metric which is not of isotropic -curvature. We show that the Randers metric induced by a Kenmotsu or Sasakian manifold is...
On generalized recurrent Kaehlerian manifolds of second order II