Ali Taghavi

5 Questions 14 Answers 0 Followers

Questions related from Ali Taghavi

Do you have an example of an algebraic Hamiltonian vector field which possess a finite number of periodic orbits?

Is there a polynomial Hamiltonian vector field with a finite number of periodic orbits? Please see this MO question:...

22 January 2021 1,844 4 View

Can every simple closed curve be realized as a closed orbit of a polynomial vector field?

Assume that we have an analytic simple closed curve \gamma in the plane. Is there a polynomial vector field which is tangent to \gamma? I asked this question at MO,...

29 September 2017 6,418 3 View

Is this an appropriate generalization of Affine manifolds?

What is an example of a (compact) manifold which does not admit an atlas with all transition function between charts, polynomials? Of course any such example can not be an affine manifold.

10 April 2017 4,260 2 View

What can be said about these type of Riemannian manifold?

Assume that (M,g) is a Riemannian manifold with the following property: For every p in M, all non singular trajectories of the gradient vector field correspond to function d^2(x,p) are...

14 February 2017 9,941 5 View

Hamiltonian vector field with a finite number of closed orbits

Let $X$ be a hamiltonian vector field on the plane. Then either has no closed orbit or it has infinite number of closed orbit. Now what can be said about higher dimensional hamiltonian vector...

01 January 1970 4,759 10 View