On certain Möbius 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 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.

26 pages, 0 figures

References in corpus (2)

• An intrinsic approach in the curved n-body problem: the negative curvature case
• Möbius solutions of the curved $n$--body problem for positive curvature

Cited by in corpus (1)

• Conjugated equilibrium solutions for the $2$--body problem in the two dimensional sphere ${\mathbb{M}}_R^2$ for equal masses