English

Three dimensional central configurations in H3 and S3

Classical Analysis and ODEs 2016-05-30 v1

Abstract

We show that each central configuration in the three-dimensional hyperbolic sphere is equivalent to one central configuration on a particular two- dimensional hyperbolic sphere. However, there exist both special and ordinary central configurations in the three-dimensional sphere that are not confined to any two-dimensional sphere.

Keywords

Cite

@article{arxiv.1605.08730,
  title  = {Three dimensional central configurations in H3 and S3},
  author = {Suo Zhao and Shuqiang Zhu},
  journal= {arXiv preprint arXiv:1605.08730},
  year   = {2016}
}

Comments

10 pages, 2 figures

R2 v1 2026-06-22T14:11:29.256Z