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
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 geodesic mappings of recurrent Finsler spaces.
On geodesic mappings preserving the Einstein tensor
In this paper there are discussed the geodesic mappings which preserved the Einstein tensor. We proved that the tensor of concircular curvature is invariant under Einstein tensor-preserving geodesic mappings.
On geometry of curves of flags of constant type
We develop an algebraic version of Cartan’s method of equivalence or an analog of Tanaka prolongation for the (extrinsic) geometry of curves of flags of a vector space W with respect to the action of a subgroup G of GL(W). Under some natural assumptions on the subgroup G and on the flags, one can pass from the filtered objects to the corresponding graded objects and describe the construction of canonical bundles of moving frames for these curves in the language of pure linear algebra. The scope...