A Lower Bound for the Number of Central Configurations on H²

2017/02/17 by Shuqiang Zhu, Zhu, Shuqiang
Mathematics · #34 #58 #70 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1702.05535

openalex publication_date 2017/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the indices of the geodesic central configurations on \H². 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 \H².

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