On the B-scrolls in the 3-dimensional Lorentzian space
On the casual structure of homogeneous manifolds.
On the Classification of Lorentzian Sasaki Space Forms
On the Covariant Differential of an Almost Hermitian Structure.
On the curvatures of -dimensional generalized time-like ruled surface.
On the degeneration of harmonic sequences from surfaces into complex Grassmann manifolds
Let be a harmonic map from surface into complex Grassmann manifold. In this paper, some sufficient conditions for the harmonic sequence generated by to have degenerate -transform or -transform are given.
On the equivalence of Ricci-semisymmetry and semisymmetry
On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry
On the Example of Almost Pseudo-Z-symmetric Manifolds
In the present paper we have obtained a new example of non-Ricci-flat almost pseudo-Z-symmetric manifolds in the class of equidistant spaces, which admit non-trivial geodesic mappings.
On the existence of certain conformally recurrent metrics
On the existence of f-recurrent (LCS)n-manifolds.
On the first eigenvalue of spacelike hypersurfaces in Lorentzian space
In this paper we obtain a lower bound for the first Dirichlet eigenvalue of complete spacelike hypersurfaces in Lorentzian space in terms of mean curvature and the square length of the second fundamental form. This estimate is sharp for totally umbilical hyperbolic spaces in Lorentzian space. We also get a sufficient condition for spacelike hypersurface to have zero first eigenvalue.
On the Generalized Gauss Lemma in Lorentzian Manifolds
On the geodesics of tubular surfaces in Minkowski 3-space.
On the geometric structure of the set of solutions of Einstein equations [Book]
On the paradox of two domains in Schwarzschild exterior solution
On the quadric CMC spacelike hypersurfaces in Lorentzian space forms
We deal with complete spacelike hypersurfaces immersed with constant mean curvature in a Lorentzian space form. Under the assumption that the support functions with respect to a fixed nonzero vector are linearly related, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of the ambient space.
On the topological charge conservation in the three-dimensional -model.
A field of three-component unit vectors on the dimensional spacetime is considered. Two field configurations with different values of the topological charge cannot be connected by the path of field configurations with a finite Euclidean action. Therefore there is no transition between them. The initial and final configurations are assumed to be continuous at infinity. The asymptotic behaviour of intermediate configurations may be arbitrary. The proof is based on the properties of the degree of...
On the vertical bundle of a pseudo-Finsler manifold.
On totally umbilical submanifolds of conformally birecurrent manifolds