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arXiv · 1508.03209

On certain M\"obius type solutions for the n-body problem in a positive space form

Pedro Pablo Ortega Palencia·J. Guadalupe Reyes-Victoria
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Abstract

We study here the Mobius type solutions for the n-body problem in a two dimensional positive space form M^2_R. With methods of Mobius geometry and using the Iwasawa decomposition of the Mobius group of automorphisms Mob_2 (M^2_R), we state algebraic functional conditions for the existence of such type of solutions in M^2_R. We mention some examples of these type of solutions.

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Pedro Pablo Ortega Palencia, J. Guadalupe Reyes-Victoria. 2015-08-13. On certain M\"obius type solutions for the n-body problem in a positive space form. https://arxiv.org/abs/1508.03209

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