
 Pullback  Enpsychlopedia (Site not responding. Last check: 20071105) 
  Given a function on vector spaces, a pullback can be defined on the space of tensors. 
  The cotangent space is dual to the tangent space, and maps on the dual space act as the transpose. 
  When the map f between manifolds is a diffeomorphism, that is, it is both smooth and invertible, then the pullback can be defined for the tangent space as well as for the cotangent space, and thus, by extension, for an arbitrary mixed tensor bundle on the manifold. 
 psychcentral.com /wiki/Pullback (1034 words) 
