Uniqueness and non-existence of minimal submanifolds
  We provide uniqueness results for compact minimal submanifolds in a large class of Riemannian manifolds of arbitrary dimension. In the case compact and Cartan-Hadamard manifolds we obtain general results for these submanifolds. Several applications to Geometric Analysis are also showed. 
R.M. Rubio and J.J. Salamanca
math.DG