| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661538 | Topology and its Applications | 2006 | 5 Pages |
Abstract
Suppose that φ is a nonsingular (fixed point free) C1 flow on a smooth closed 3-dimensional manifold M with H2(M)=0. Suppose that φ has a dense orbit. We show that there exists an open dense set N⊆M such that any knotted periodic orbit which intersects N is a nontrivial prime knot.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
