Consider coordinate vector fields on a smooth manifold. Then the tuple \((\frac{\partial }{\partial x^1}, \ldots, \frac{\partial }{\partial x^n})\) is a smooth local frame [@lee2013smooth_manifolds].
Consider coordinate vector fields on a smooth manifold. Then the tuple \((\frac{\partial }{\partial x^1}, \ldots, \frac{\partial }{\partial x^n})\) is a smooth local frame [@lee2013smooth_manifolds].