Keywords: 70F25; 37J60; 70H03; 70G45; 37N15; 00A69; 74P20; Autonomous bicycle; Lagrangian system; Nonholonomic constraints; Reduced equations of motion; Lagrange multipliers;
مقالات ISI (ترجمه نشده)
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Keywords: 81Q99; 81S10; 83C00; 70H40; 70G45; 58A20; Covariant classical mechanics; Covariant quantum mechanics; Galileian metric; Phase space; Quantum connection; Quantum potential;
Keywords: 70H20; 53D20; 53D12; 58F05; 70G45; Hamilton-Jacobi theory; Reduction; Symmetries; Lagrangian submanifolds;
Keywords: 37C40; 37J60; 70F25; 70G45; 70G65Relative equilibria; Non-linear stability; Two-body problem; Hyperbolic space; Symmetry Lie group
Keywords: 70G45; 70H03; 70H06; 70H07; 70H30; 70H50; 53C80; 53D35Tangent form; Lagrangian; Euler–Lagrange equation; Hamiltonian vector field; Semi-spray
Quantization of compact Riemannian symmetric spaces
Keywords: 53D50; 53C35; 32L10; 70G45; 65; Adapted complex structures; Geometric quantization; Hilbert fields;
A note on sub-Riemannian structures associated with complex Hopf fibrations
Keywords: 53C17; 70G45; 49J15; 34C10Sub-Riemannian structures; Complex Hopf fibrations; Jacobi equations; Conjugate points; Comparison theorems; Magnetic field on Riemannian manifolds
Dirac algebroids in Lagrangian and Hamiltonian mechanics
Keywords: 37J05; 70G45; 70F25; 57D17; 70H45; 70H03; 70H25; 17B66Variational calculus; Geometrical mechanics; Nonholonomic constraint; Euler–Lagrange equation; Dirac structure; Lie algebroid
Jacobi equations and Comparison Theorems for corank 1 sub-Riemannian structures with symmetries
Keywords: 53C17; 70G45; 49J15; 34C10Sub-Riemannian structures; Jacobi equations; Curves in Lagrange Grassmannians; Conjugate points; Comparison Theorems; Magnetic field on Riemannian manifolds
Double affine bundles
Keywords: 53C15; 53C80; 55R10; 51N10; 53D35; 70G45; Affine space; Affine bundle; Vector bundle; Double vector bundle; Duality;
Integrable systems and Poisson-Lie T-duality: A finite dimensional example
Keywords: 37J35; 70H06; 70G45; 53D20; 81T40; Symplectic geometry; Classical integrable systems; Poisson-Lie T-duality; Dressing actions; Momentum maps; Collective Hamiltonians;
The structure of Fedosov supermanifolds
Keywords: 58A50; 70G45; 53D55; Supermanifolds; Fedosov manifolds; Symplectic connections; Deformation quantization; Odd poisson brackets;
Poisson–Lie TT-duality and non-trivial monodromies
Keywords: Symplectic geometry; Classical field theory; Classical integrable systems37K10; 81T40; 70G45; 53D20Poisson–Lie TT-duality; Dressing actions; Momentum maps; Non-trivial monodromies; Collective hamiltonians
Equilibrium theory in 2D Riemann manifold for heterogeneous biomembranes with arbitrary variational modes
Keywords: 20F65; 62P35; 70G45; 74L15Heterogeneous biomembranes; Differential operators; Equilibrium differential equations; Geometrically constraint equation; Arbitrary variational mode
Hamiltonian loop group actions and T-duality for group manifolds
Keywords: 37K10; 81T40; 70G45; 53D20Symplectic geometry; Classical field theory; Classical integrable systemsPoisson-Lie T-duality; Hamiltonian loop group actions; Dressing actions; Momentum maps; Collective Hamiltonians
Lagrangian submanifolds and dynamics on lie affgebroids
Keywords: 171366; 53D12; 70G45; 70H03; 70H05; 70H20; Atiyah affgebroids; Canonical involution; Euler-Lagrange equations; Hamilton equations; Lagrangian submanifolds; Lie affgebroids; symplectic Lie affgebroids; time-dependent mechanics; Tulczyjew's triple;
Geometric reduction of Hamiltonian systems
Keywords: 70H45; 53D17; 70F20; 70G45; Poisson structures; geometric reduction; constraints; Hamiltonian systems;