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arXiv 0709.0700math.DS
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椭圆动力学在保守3-流上的推广

Abundance of elliptic dynamics on conservative 3-flows

Mario Bessa, Pedro Duarte

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。

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