On certain M\"obius type solutions for the n-body problem in a positive space form
Abstract
We study here the Mobius type solutions for the n-body problem in a two dimensional positive space form M2R. With methods of Mobius geometry and using the Iwasawa decomposition of the Mobius group of automorphisms Mob2 (M2R), we state algebraic functional conditions for the existence of such type of solutions in M2R. We mention some examples of these type of solutions.
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