Department of mathematics faculty of science, University of Al-Bha-K.S.A.
Online published on 22 August, 2016.
This paper develop the Riemannian geometry of classical gauge theories, on compact dimensional manifolds, some important properties of fields, the manifold structure of the configuration space, we study the problem of differentially projection mapping parameterization system by constructing rank k on surfaces n-k dimensional is sub manifold space R“.
basic notion on differential geometry, differential between surfaces M, N ⊂ R is called the differential manifolds, tangent and cotangent space, differentiable injective manifold, Operator geometric on Riemannian manifolds
