What people are saying - Write a review
We haven't found any reviews in the usual places.
Analysis on Manifolds
4 other sections not shown
Other editions - View all
algebra angle variables angular momentum asymptotic bijection boundary bundle calculate canonical flow canonical transformation Cartesian clocks components constants of motion coordinate system cos2 cosh2 covariant curve defined Definition dense depends diffeomorphism differential eigenvalues energy equations of motion example exist extended phase space Figure finite follows force frequencies function global Hamiltonian Hamiltonian vector fields Hence implies independent constants infinity integrable invariance group inverse image Lie derivative linear Lorentz transformation m-form manifold mapping mass mathematical matrix measure metric Minkowski space momenta neighborhood open sets open subset orbits oscillator particles perturbation phase space physics plane Poincare group point q point transformation Poisson brackets potential Problem Proof region relativistic Remarks restricted rotating Show solution stability structure submanifold tangent space tensor field theorem theory time-evolution topology Tq(f Tq(M trajectories vanishes vector field velocity written zero