Weighted metrics on tangent sphere bundles
Differential Geometry
2012-07-17 v1
Abstract
Natural metric structures on the tangent bundle and tangent sphere bundles of a Riemannian manifold with radius function enclose many important unsolved problems. Admitting metric connections on with torsion, we deduce the equations of induced metric connections on those bundles. Then the equations of reducibility of to the almost Hermitian category. Our purpose is the study of the natural contact structure on and the -twistor space of any oriented Riemannian 4-manifold.
Cite
@article{arxiv.1012.4139,
title = {Weighted metrics on tangent sphere bundles},
author = {Rui Albuquerque},
journal= {arXiv preprint arXiv:1012.4139},
year = {2012}
}
Comments
Accepted and about to appear in Quarterly Journal of Mathematics. 16 pages. This was the final draft submitted, before print proofs