A Lower Bound for the Number of Central Configurations on H^2
Classical Analysis and ODEs
2020-10-07 v4 Dynamical Systems
Abstract
We study the indices of the geodesic central configurations on \H^2. We then show that central configurations are bounded away from the singularity set. With Morse's inequality, we get a lower bound for the number of central configurations on \H^2.
Keywords
Cite
@article{arxiv.1702.05535,
title = {A Lower Bound for the Number of Central Configurations on H^2},
author = {Shuqiang Zhu},
journal= {arXiv preprint arXiv:1702.05535},
year = {2020}
}
Comments
I have uploaded the revised vision entitled "Compactness and index of relative equilibria for the curved n-body problem'', which is arXiv:2003.06850