On geometry of frame bundles
Differential Geometry
2012-05-07 v1
Abstract
Let be a Riemannian manifold, its frame bundle. We construct new examples of Riemannian metrics on , which are obtained from Riemannian metrics on the tangent bundle . We compute the Levi--Civita connection and curvatures of these metrics.
Cite
@article{arxiv.1205.0943,
title = {On geometry of frame bundles},
author = {Kamil Niedzialomski},
journal= {arXiv preprint arXiv:1205.0943},
year = {2012}
}
Comments
10 pages