Harmonic morphisms on conformally flat 3-spheres
Differential Geometry
2013-10-22 v1
Abstract
We show that under some non-degeneracy assumption the only submersive harmonic morphism on a conformally flat sphere is the Hopf fibration. The proof involves an appropriate use the Chern-Simons functional.
Cite
@article{arxiv.0902.4558,
title = {Harmonic morphisms on conformally flat 3-spheres},
author = {Sebastian Heller},
journal= {arXiv preprint arXiv:0902.4558},
year = {2013}
}
Comments
14 pages, Part of authors PhD thesis