Operator theory on spectrum of discrete laplace-beltrami operator riemannian metric

In this paper is In this paper some fundamental theorems , definitions in Laplace – Beltrami operator Riemannian geometry to pervious of differentiable manifolds which are used in an essential way in basic concepts of Spectrum of Discrete , bounded Riemannian geometry, we study the defections, examples of the problem of differentially projection mapping parameterization system.