The n-Body Problem in Spaces of Constant Curvature. Part I: Relative Equilibria

Author:

Diacu Florin,Pérez-Chavela Ernesto,Santoprete Manuele

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modelling and Simulation

Reference32 articles.

1. Baker, A.: Matrix Groups: An Introduction to Lie Group Theory. Springer, London (2002)

2. Bolyai, W., Bolyai, J.: Geometrische Untersuchungen, Hrsg. P. Stäckel. Teubner, Leipzig (1913)

3. Cariñena, J.F., Rañada, M.F., Santander, M.: Central potentials on spaces of constant curvature: the Kepler problem on the two-dimensional sphere S 2 and the hyperbolic plane H 2. J. Math. Phys. 46, 052702 (2005)

4. Diacu, F.: On the singularities of the curved n-body problem. Trans. Am. Math. Soc. 363(4), 2249–2264 (2011)

5. Diacu, F.: Relative equilibria in the 3-dimensional curved n-body problem (2011). arXiv:1108.1229

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