Dziobek equilibrium configurations on a sphere
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Publication:2134138
DOI10.1007/s10884-021-10001-9zbMath1495.81106arXiv1705.03987OpenAlexW3161294233WikidataQ115383189 ScholiaQ115383189MaRDI QIDQ2134138
Publication date: 6 May 2022
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03987
stabilityequilibrium configurationsDziobek configurationsCayley-Menger determinantcurved \(n\)-body problem
Many-body theory; quantum Hall effect (81V70) Determinants and determinant bundles, analytic torsion (58J52) (n)-body problems (70F10) Compactifications; symmetric and spherical varieties (14M27)
Related Items (1)
Cites Work
- On the \(n\)-body problem on surfaces of revolution
- Stability of fixed points and associated relative equilibria of the 3-body problem on \({\mathbb {S}}^1\) and \({\mathbb {S}}^2\)
- Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
- Classifying four-body convex central configurations
- Regular polygonal equilibria on \(\mathbb{S}^1\) and stability of the associated relative equilibria
- Compactness and index of ordinary central configurations for the curved \(n\)-body problem
- Almost all 3-body relative equilibria on \(\mathbb{S}^2\) and \(\mathbb{H}^2\) are inclined
- To what extent are unstable the maxima of the potential?
- Generic Finiteness for Dziobek Configurations
- Symmetry of planar four-body convex central configurations
- Relative equilibria of symmetricn-body problems on a sphere: Inverse and direct results
- On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems
- The N-body problem in spaces with uniformly varying curvature
- Geometry. I, II. Transl. from the French by M. Cole and S. Levy
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