Show that the function y in (0.2) is the eigenfunction associated to eigenvalue i.e. Δψ = -μψ. = ). a Let (S,g) be a two dimensional Riemannian manifold. A = vdet gaat = det gode (Vdet g gij მri is the Beltrami-Laplacian. A function is called and eigenfunction of A if there is a real number 1, such that Δrho =-λφ, and is called an eigenvalue. Fact 1: If S is a closed surface, then eigenvalues of A forms a discrete set on R>0, and they can be written as 0 = lo