On transgression in associated bundles
Differential Geometry
2011-02-04 v3
Abstract
We formulate and prove a formula for transgressing characteristic forms in general associated bundles following a method of Chern. As applications, we derive D. Johnson's explicit formula for such general transgression and Chern's first transgression formula for the Euler class.
Keywords
Cite
@article{arxiv.0906.3909,
title = {On transgression in associated bundles},
author = {Zhaohu Nie},
journal= {arXiv preprint arXiv:0906.3909},
year = {2011}
}
Comments
Fixed a sign issue in section 4. Final version to appear in Houston Journal of Mathematics