Normal modes in symplectic stratified spaces
辛几何
2007-05-23 v2 微分几何
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摘要
We generalize the Weinstein-Moser theorem on the existence of nonlinear normal modes (i.e., periodic orbits) near an equilibrium in a Hamiltonian system to a theorem on the existence of relative periodic orbits near a relative equilibrium in a Hamiltonian system with continuous symmetries. More specifically we significantly improve a result proved earlier jointly with Tokieda (math.SG/9901102): we remove a technical hypothesis which amounted to an assumption that the symmetry group is a torus.
引用
@article{arxiv.math/9906007,
title = {Normal modes in symplectic stratified spaces},
author = {Eugene Lerman},
journal= {arXiv preprint arXiv:math/9906007},
year = {2007}
}
备注
9 pages. Title changed. Exposition improved. One proposition added. References added