# Curvatures of weighted metrics on tangent sphere bundles

@article{Albuquerque2011CurvaturesOW, title={Curvatures of weighted metrics on tangent sphere bundles}, author={R. Albuquerque}, journal={arXiv: Differential Geometry}, year={2011} }

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.

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