Natural Diagonal Riemannian Almost Product and Para-Hermitian Cotangent   Bundles
  We obtain the natural diagonal almost product and locally product structures on the total space of the cotangent bundle of a Riemannian manifold. We find the Riemannian almost product (locally product) and the (almost) para-Hermitian cotangent bundles of natural diagonal lift type. We prove the characterization theorem for the natural diagonal (almost) para-K\"ahlerian structures on the total spaces of the cotangent bundle. 
Simona-Luiza Druta-Romaniuc
math.DG