On certain M\"obius type solutions for the n-body problem in a positive space form
Dynamical Systems
2019-08-18 v3
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.
Keywords
Cite
@article{arxiv.1508.03209,
title = {On certain M\"obius type solutions for the n-body problem in a positive space form},
author = {Pedro Pablo Ortega Palencia and J. Guadalupe Reyes-Victoria},
journal= {arXiv preprint arXiv:1508.03209},
year = {2019}
}
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26 pages, 0 figures