On certain Möbius type solutions for the n-body problem in a positive space form

2015/08/13 by Palencia, Pedro Pablo Ortega, Reyes-Victoria, J. Guadalupe
#Dynamical Systems (math.DS) #FOS: Mathematics #Primary 70F15 #Secondary 53Z05

paper · doi:10.48550/arxiv.1508.03209

Abstract

We study here the Mobius type solutions for the n-body problem in a two dimensional positive space form M²_R. With methods of Mobius geometry and using the Iwasawa decomposition of the Mobius group of automorphisms Mob₂ (M²_R), we state algebraic functional conditions for the existence of such type of solutions in M²_R. We mention some examples of these type of solutions.

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