  Consider a compact Riemannian manifold with boundary. In this short note we
prove that under certain positive curvature assumptions on the manifold and its
boundary the Steklov eigenvalues of the manifold are controlled by the Laplace
eigenvalues of the boundary. Additionally, in two dimensions we obtain an upper
bound for these Steklov eigenvalues in terms of topology of the surface without
any curvature restrictions.
