The Curved N-Body Problem: Risks and Rewards

Author:

Diacu Florin

Publisher

Springer Science and Business Media LLC

Subject

History and Philosophy of Science,General Mathematics

Reference35 articles.

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2. J. Bertrand, Théorème relatif au mouvement d’un point attiré vers un center fixe, C. R. Acad. Sci. 77 (1873), 849–853.

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

4. W. Bolyai and J. Bolyai, Geometrische Untersuchungen, Hrsg. P. Stäckel, Teubner, Leipzig-Berlin, 1913.

5. F. Diacu, On the singularities of the curved N-body problem, Trans. Amer. Math. Soc. 363, 4 (2011), 2249–2264.

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