g-Natural metrics of constant sectional curvature
Differential Geometry
2008-09-12 v1
Abstract
We prove that the tangent bundle endowed with a g-natural metrics has constant sectional curvature if and only if it is flat, and then we give a characterization of flat g-natural metrics on tangent bundles.
Keywords
Cite
@article{arxiv.0809.1992,
title = {g-Natural metrics of constant sectional curvature},
author = {S. Degla and J. -P. Ezin and L. Todjihounde},
journal= {arXiv preprint arXiv:0809.1992},
year = {2008}
}