Some results on harmonic metrics
Differential Geometry
2022-01-11 v2
Abstract
In this paper, we prove that the harmonicity of a metric on a pseudo-Riemannian manifold is equivalent to the harmonicity of both its Sasaki (resp. horizontal and complete) lift metric on the tangent bundle and its Sasaki lift metric on the cotangent bundle. Some applications are included.
Cite
@article{arxiv.2111.06117,
title = {Some results on harmonic metrics},
author = {Fatima Zohra Kadi and Bouazza Kacimi and Mustafa Ozkan},
journal= {arXiv preprint arXiv:2111.06117},
year = {2022}
}