A Lower Bound for the Number of Central Configurations on H^2

Shuqiang Zhu

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arXiv · 1702.05535

A Lower Bound for the Number of Central Configurations on H^2

Shuqiang Zhu

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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 $\H^2$.

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Shuqiang Zhu. 2017-02-17. A Lower Bound for the Number of Central Configurations on H^2. https://arxiv.org/abs/1702.05535

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