Is $\nabla_{X}:\Gamma(E) \to \Gamma(E)$ continuous aplication?

75 Views Asked by At

Be $\Gamma(E)$ smooth sections space of an vector bundle, $\Gamma(E)$ with Fréchet topology. Gived a conexion in E and a smooth vector field $X$, Is $\nabla_{X}: \Gamma(E) \to \Gamma(E)$ continuous aplication?