  We show uniqueness results for the anisotropic Calder\'{o}n problem stated on
transversally anisotropic manifolds. Moreover, we give a convexity result for
the range of Dirichlet-to-Neumann maps on general Riemannian manifolds near the
zero potential. Finally, we present results for Calder\'{o}n type inverse
problems associated to semilinear elliptic equations on general Riemannian
manifolds.
