Isometry Structures on Vector Bundles
Differential Geometry
2016-10-11 v2
Abstract
In this paper, we prove that total space of every vector bundle with the base manifold on which the canonical isometric action acts freely, also carries a principal bundle structure. We also obtain another principal bundle based on the total space of given vector bundle.
Cite
@article{arxiv.1605.06017,
title = {Isometry Structures on Vector Bundles},
author = {Hulya Kadioglu and Robert Fisher},
journal= {arXiv preprint arXiv:1605.06017},
year = {2016}
}
Comments
This paper has been withdrawn by the author due to crucial error in definition 4