On curvatures and focal points of distributions of dynamical Lagrangian distributions and their reductions by first integrals

DOI10.1007/s10883-005-6581-4zbMath1160.37383arXivmath/0409152OpenAlexW2060708134MaRDI QIDQ814964

Andrei A. Agrachev, Nataliya Shcherbakova, Igor Zelenko

Publication date: 8 February 2006

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409152

Mathematics Subject Classification ID

Related Items (6)

Curvatures and hyperbolic flows for natural mechanical systems in Finsler geometry ⋮ The curvature and hyperbolicity of Hamiltonian systems ⋮ On Zermelo-like problems: Gauss-Bonnet inequality and E. Hopf theorem ⋮ Moving planes, Jacobi curves and the dynamical approach to Finsler geometry ⋮ Geometric invariants of fanning curves ⋮ The energy minimization problem for two-level dissipative quantum systems

Cites Work

• On the minimizing properties of the 8-shaped solution of the 3-body problem
• The Sturm theorems and symplectic geometry
• Geometry of Jacobi curves. I
• Geometry of Jacobi curves. II
• Feedback-invariant optimal control theory and differential geometry. I: Regular extremals
• On variational approach to differential invariants of rank two distributions
• A remarkable periodic solution of the three-body problem in the case of equal masses
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