The local φ-symmetry and φ-symmetry of a K-contact manifold with respect to the quarter-symmetric metric connection are studied and the results concerning the φ-symmetry, scalar curvature with respect to the quarter- ...

We study an eigenvalue distribution of the adjacency matrix A^(N,p,a) of the weighted random bipartite graph Г = ГN,p. We assume that the graph has N vertices, the ratio of parts is α(1-α), and the average number of the ...

It is shown that any singular Lagrangian theory: 1) can be formulated without the use of constraints by introducing a Clairaut-type version of the Hamiltonian formalism; 2) leads to a special kind of nonabelian gauge theory ...

We introduce holomorphic Riemannian maps between almost Hermitian manifolds as a generalization of holomorphic submanifolds and holomorphic submersions, give examples and obtain a geometric characterization of harmonic ...

The Maxwell-Bloch equations have been intensively studied by many authors. The main results are based on the inverse scattering transform and the Marchenko integral equations. However this method is not acceptable for mixed ...

For the Sturm-Louville equation with block-triangular matrix potential that increases at infinity, both increasing and decreasing at infinity matrix solutions are found. The structure of spectrum for the differential ...

We consider first the n x n random matrices Hn = An +Un*BnUn, where An and Bn are Hermitian, having the limiting normalized counting measure (NCM) of eigenvalues as n →∞, and Un is unitary uniformly distributed over U(n). ...

We construct a two-dimensional sphere in the three-dimensional Euclidean space which intersects a circular cylinder in three given points and the corresponding weighted Fermat-Torricelli point for a geodesic triangle such ...