- #1
Dragonfall
- 1,030
- 4
Given a closed Riemannian manifold, a point P on it and a nonzero vector V in its tangent space, can you extend a geodesic in that direction of V indefinitely? I count looping back onto itself as "indefinitely".
The theorem I have in my book only guarantees that this is possible locally near P.
The theorem I have in my book only guarantees that this is possible locally near P.