ICTP Preprint No. ICTP Preprint No. The critical temperature of the system is studied as a function of the thickness of the constituents in a unit cell and of exchange interactions in each material. A critical interface exchange interaction above which the interface magnetism appears is found. The effects of a uniform transverse field and the interface exchange interaction on the parameters of the system are also investigated.
Riemannian manifolds is obtained.
For some quadratic forms, which generalize the quadratic maps, we give necessary and sufficient conditions under which they are harmonic maps or morphisms. Continuum elastic theory has been used to obtain mathematical expressions for the force of interaction required to constrict dislocation partials, the energy of constriction and the climb velocity of the constricted thermal jogs. The corresponding stress exponent obtained from the analysis was 5.0, which satisfies the condition that the stress exponent must be greater than 4.5 for pure FCC metals. We discuss various aspects of the solar neutrino spectrum distortion and time variations of fluxes. Oscillations of neutrinos which cross the mantle and the core of the Earth can be parametrically enhanced.