Periodic prime knots and topologically transitive flows on 3-manifolds
Abstract
Suppose that () is a nonsingular (fixed point free) C^1 flow on a
smooth closed 3-dimensional manifold M with H2(M) = 0. Suppose that () has a dense orbit. We show that there exists an open dense set N µ M such
that any knotted periodic orbit which intersects N is a nontrivial prime knot (Refer to PDF file for exact formulas).