We show that the scalar curvature of a Riemannian manifold $M$ is constant if it satisfies (i) concircular field equation and compact, (ii) special equation. Finally, we that, complete connected admits non-isometric vector leaving invariant, conformal function concircular, then constant.

Abstract We study a massless scalar field propagating in the background of a five-dimensional rotating black hole. We showed that in the Myers-Perry metric describing such a black hole the massless field equation allows the separation of variables. The obtained angular equation is a generalization of the equation for spheroidal functions. The radial equation is similar to the radial Teukolsky e...

We complete the construction of the renormalization group equation (RGE) for the Color Glass Condenstate begun in Paper I. This is the equation which governs the evolution with rapidity of the statistical weight function for the color glass field. The coefficients in this equation — one-loop real and virtual contributions — are computed explicitly, to all orders in the color glass field. The re...

Up to the present much work on meson theory has. been done by considering it as a field theory, and the equation of meson as a field equation. This situation has its origin in the fact that the meson was found originally as a field of the heavy particles. However, if we restrict ourselves to the problems of the interaction between the meson and the electromagnetic field, it seems more adequate ...

in this study, the effects of strength and direction of the magnetic field on lid-driven cavity flow in the whole range of magnetic field strength variations, which already used in practice up to present (0 to 10 tesla), are studied. the governing equations, including conservative equations of momentum, continuity and magnetic field equations were solved numerically. momentum and continuity equ...