lavinia
Oct8-11, 06:24 AM
On a compact Riemannian 2 manifold without boundary there are two vector fields that are orthonormal. They may have isolated singularities.Their Lie bracket gives a third vector field.
What global conditions must a vector field satisfy in order for it to be such a Lie bracket for some Riemannian metric on the manifold?
What global conditions must a vector field satisfy in order for it to be such a Lie bracket for some Riemannian metric on the manifold?