Curvatures of weighted metrics on tangent sphere bundles
Differential Geometry
2011-12-15 v1
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.
Keywords
Cite
@article{arxiv.1107.5353,
title = {Curvatures of weighted metrics on tangent sphere bundles},
author = {Rui Albuquerque},
journal= {arXiv preprint arXiv:1107.5353},
year = {2011}
}