Traces on Riemannian Manifolds

In the final chapter of this manuscript we turn our attention towards traces on submanifolds N in fractional Sobolev, Besov- and Triebel-Lizorkin spaces defined on noncompact Riemannian manifolds M. Here M is of dimension d and N of dimension k with k < d, respectively. Usually, these spaces are defined via geodesic normal coordinates. However, for our investigations we require more flexibility in the choice of coordinates and therefore rely on the results obtained in Chap. 2, where we studied which conditions are sufficient such that different local coordinates give equivalent norms and therefore yield the same spaces.