  We give some generic properties of non degeneracy for critical points of
functionals. We apply these results, obtaining some theorems of multiplicity of
solutions for the equation -{\epsilon}^2\Delta_g u+u=|u|p-2u in M, u in
H_g^1(M) where M is a compact Riemannian manifold of dimension n and 2<
p<2n/(n-2).
