Curvatures of weighted metrics on tangent sphere bundles
  We determine the curvature equations of natural metrics on tangent bundles and radius r tangent sphere bundles S_rM of a Riemannian manifold M. A family of positive scalar curvature metrics on S_rM is found, for any M with bounded sectional curvature and any chosen constant r. 
Rui Albuquerque
math.DG