No hyperbolic pants for the 4-body problem with strong potential

DOI10.2140/pjm.2016.280.401zbMath1362.37159OpenAlexW2295538487MaRDI QIDQ906129

Richard Montgomery, Connor Jackman

Publication date: 29 January 2016

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2016.280.401

zbMATH Keywords

hyperbolic flows\(N\)-body problemJacobi-Maupertuis metricstrong potential scale symmetry

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (7)

Hyperbolic shirts fit a 4-body problem ⋮ The three-body problem and equivariant Riemannian geometry ⋮ The hyperbolic plane, three-body problems, and Mnëv's universality theorem ⋮ The three-body problem as a geodesic billiard map with singularities ⋮ On the sectional curvature along central configurations ⋮ Curvature and geodesic instabilities in a geometrical approach to the planar three-body problem ⋮ A geometric approach to the generalized Noether theorem

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