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Curvatures of weighted metrics on tangent sphere bundles
Published 26 Jul 2011 in math.DG | (1107.5353v1)
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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