Contact three-manifolds with exactly two simple Reeb orbits
Contact three-manifolds with exactly two simple Reeb orbits
It is known that every contact form on a closed three-manifold has at least two simple Reeb orbits, and a generic contact form has infinitely many.We show that if there are exactly two simple Reeb orbits, then the contact form is nondegenerate.Combined with a previous result, this implies that the …