Three dimensional central configurations in H3 and S3

2016/05/27 by Suo Zhao, Zhao, Suo, Shuqiang Zhu +1
Mathematics · Physics and Astronomy · #34 #58 #70 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematics and Applications #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1605.08730

openalex publication_date 2016/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Central configurations of the curved N-body problem

Related

• Classification of stacked central configurations in R³
• A Lower Bound for the Number of Central Configurations on H²
• On three dimensional stellar manifolds
• Stacked central configurations with a homogeneous potential in ℝ³
• Central configurations of the curved N-body problem