Which of the following statements is correct (where \(\mathbf{F}\) is a continuously differentiable vector field defined everywhere)?
(a) The flux of \(\operatorname{curl}(\mathbf{F})\) through all surfaces is zero.
(b) If \(\mathbf{F}=abla \varphi\), then the flux of \(\mathbf{F}\) through all surfaces is zero.
(c) The flux of \(\operatorname{curl}(\mathbf{F})\) through all closed surfaces is zero.