Curvatures of weighted metrics on tangent sphere bundles

Rui Albuquerque

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arXiv · 1107.5353

Curvatures of weighted metrics on tangent sphere bundles

Rui Albuquerque

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Abstract

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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Rui Albuquerque. 2011-07-26. Curvatures of weighted metrics on tangent sphere bundles. https://arxiv.org/abs/1107.5353

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