椭圆动力学在保守3-流上的推广
Abundance of elliptic dynamics on conservative 3-flows
摘要:
考虑紧致三维无边界黎曼流形M和无奇点的无发散(或零发散)向量场集,证明了该集有C1-剩余,使得其内部的任何向量场都是Anosov的,否则其椭圆轨道在流形M中稠密.
英文摘要:
We consider a compact 3-dimensional boundaryless Riemannian manifold M and the set of divergence-free (or zero divergence) vector fields without singularities, then we prove that this set has a C1-residual such that any vector field inside it is Anosov or else its elliptical orbits are dense in the manifold M.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。