Harmonic Riemannian submersions from 3-dimensional geometries
Differential Geometry
2023-02-21 v1
Abstract
In this paper, we study harmonic Riemannian submersions from 3-dimensional geometries using the ( generalized) integrability data associated to an orthonormal frame natural to a Riemannian submersion. We give complete classifications of harmonic Riemannian submersions from Thurston's 3-dimensional geometries, 3-dimensional BCV spaces and Berger sphere into a surface. We also give some explicit constructions of these harmonic Riemannian submersions.
Cite
@article{arxiv.2302.09600,
title = {Harmonic Riemannian submersions from 3-dimensional geometries},
author = {Ze-Ping Wang and Ye-Lin Ou and Yong-Gui Luo},
journal= {arXiv preprint arXiv:2302.09600},
year = {2023}
}
Comments
15 page