论文标题
固定升降机和可集成系统的刚度
Rigidity of cotangent lifts and integrable systems
论文作者
论文摘要
在本文中,我们将帕莱斯定理概括了一个紧凑的小组动作对cotangengent Lifts的刚性。我们使用此结果证明了在符号歧管上的可集成系统的刚性,包括在圆环动作下具有变性奇异性的系统。
In this article we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including sytems with degenerate singularities which are invariant under a torus action.