Curvatures of weighted metrics on tangent sphere bundles

Details Curvatures of weighted metrics on tangent sphere bundles Curvatures of weighted metrics on tangent sphere bundles

2011-07-26

arxiv.org/abs/1107.5353v1

Riv.Mat.Univ.Parma, Volume 2 - Number 2 - 2011, p.299-313

Mathematics

Differential Geometry

Scientific paper

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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