Intrinsically harmonic forms and characterization of flat circle bundles
Differential Geometry
2022-05-31 v1
Abstract
We establish a criterion for the flatness of a principal circle bundle in terms of the intrinsically harmonic form problem. It states that the flatness is equivalent to the intrinsic harmonicity of a certain natural associated form.
Cite
@article{arxiv.2205.14190,
title = {Intrinsically harmonic forms and characterization of flat circle bundles},
author = {Elizeu França and Francesco Mercuri},
journal= {arXiv preprint arXiv:2205.14190},
year = {2022}
}