Mapping among manifolds 1
  In this paper we have build the modified Hamiltonian formalism for geometric objects like the Jacobi fields and metric tensors. In this approach Jacobi fields and metric tensors are mapped among manifold. As an application, we have mapped a general n-dimensional Riemannian manifold to a n-dimensional maximally symmetric spacetime. 
A. C. V. V. de Siqueira