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 Einstein metrics.
On generalized -harmonic morphisms
In this paper, we study the characterization of generalized -harmonic morphisms between Riemannian manifolds. We prove that a map between Riemannian manifolds is an -harmonic morphism if and only if it is a horizontally weakly conformal map satisfying some further conditions. We present new properties generalizing Fuglede-Ishihara characterization for harmonic morphisms ([Fuglede B., Harmonic morphisms between Riemannian manifolds, Ann. Inst. Fourier (Grenoble) 28 (1978), 107–144], [Ishihara T., A...
On generalized M-projectively recurrent manifolds
The purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized M projectively recurrent manifolds have been studied under certain curvature conditions. An application of such a manifold in the theory of relativity has also been shown. Finally, we give an example of a generalized M-projectively recurrent manifold.
On generalized recurrent Kaehlerian manifolds of second order II
On generalized recurrent Kaehlerian manifolds of second order I
On generalized Weingarten surfaces
On generic submanifolds of a locally conformal Kähler manifold with parallel canonical structures.
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 of special Finsler spaces
The author previously studied with F. Ilosvay and B. Kis [Publ. Math. 42, 139-144 (1993; Zbl 0796.53022)] the diffeomorphisms between two Finsler spaces and which map the geodesics of to geodesics of (geodesic mappings).Now, he investigates the geodesic mappings between a Finsler space and a Riemannian space . The main result of this paper is as follows: if is of constant curvature and the mapping is a strongly geodesic mapping then or and .
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 geometric objects
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...
On geometry of flat complete strictly causal Lorentzian manifolds.
On geometry of the third tangent bundle
On -G-foliations
On global Sobolev inequalities.