The hyperbolic plane, three-body problems, and Mnëv's universality theorem

DOI10.1134/S1560354717060077zbMath1387.70014OpenAlexW2772295263WikidataQ126024365 ScholiaQ126024365MaRDI QIDQ1702809

Richard Montgomery

Publication date: 28 February 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354717060077

zbMATH Keywords

reductionhyperbolic metricsJacobi-Maupertuis metricthree-body forcesMnëv's universality theorem

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 (1)

On the sectional curvature along central configurations

Cites Work

• No hyperbolic pants for the 4-body problem with strong potential
• Infinitely many syzygies
• The Three-Body Problem and the Shape Sphere
• Fitting hyperbolic pants to a three-body problem
• Mnev-Sturmfels universality for schemes
• Hyperbolic manifolds and discrete groups
• A remarkable periodic solution of the three-body problem in the case of equal masses
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