The application of Liouville vector fields in Osc3M
The Cauchy problem for Lorentz metrics with prescribed Ricci curvature
The characterization of the spherical timelike curves in 3-dimensional Lorentzian space.
The Clairaut's theorem on rotational surfaces in pseudo-Euclidean 4-space with index 2
Clairaut’s theorem is expressed on the surfaces of rotation in semi Euclidean 4-space. Moreover, the general equations of time-like geodesic curves are characterized according to the results of Clairaut's theorem on the hyperbolic surfaces of rotation and the elliptic surface of rotation, respectively.
The Classification of Hypersurfaces of a Euclidean Space with Parallel Higher Order Fundamental Form.
The cubic representation of a submanifold.
The curvature theory of generalized connection in .
The decomposition of global conformal invariants: some technical proofs. I.
The Dolbeault operator on Hermitian spin surfaces
We prove the vanishing of the kernel of the Dolbeault operator of the square root of the canonical line bundle of a compact Hermitian spin surface with positive scalar curvature. We give lower estimates of the eigenvalues of this operator when the conformal scalar curvature is non -negative.
The double exponential map and covariant derivation.
The equations of structure of an -linear connection in the bundle of accelerations.
The Euler theorem and Dupin indicatrix for surfaces at a constant distance from edge of regression on a surface in
The evolution of the Dirac field in cuved space-times.
The first eigenvalue of spacelike submanifolds in indefinite space form
In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in with the bounded Gauss map must be zero.
The First Order PDE System for Type III Osserman Manifolds
The Fundamental Equations of Minimal Surfaces in C2.
The gap phenomenon in the dimension study of finite type systems
Several examples of gaps (lacunes) between dimensions of maximal and submaximal symmetric models are considered, which include investigation of number of independent linear and quadratic integrals of metrics and counting the symmetries of geometric structures and differential equations. A general result clarifying this effect in the case when the structure is associated to a vector distribution, is proposed.
The Gauss map of a spacelike constant mean curvature hypersurface of Minkowski space.
The Gauss-Bonnet theorem for Cayley-Klein geometries of dimension two.
The geometric structure of the inverse gamma distribution.