Hamiltonian geodesics in nonholonomic differential systems

DOI10.1016/S0034-4877(97)85918-6zbMath0911.58003OpenAlexW2003714854MaRDI QIDQ1387174

Stanisław Janeczko

Publication date: 22 April 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)85918-6

zbMATH Keywords

sub-Riemannian geodesicsnonholonomic differential systemssub-Riemannian exponential map

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Singularities of differentiable mappings in differential topology (57R45) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

• On Carnot-Caratheodory metrics
• The wave equation on the heisenberg group
• Forward scattering by a convex obstacle
• The exponential map for the Lagrange problem on differentiable manifolds
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