A continuum model for the effective spin orbit interaction in graphene is derived from a tight-binding model which includes the \(\pi\) and \(\sigma\) bands. We analyze the combined effects of the intra-atomic spin-orbit coupling, curvature, and applied electric field, using perturbation theory. We recover the effective spin-orbit Hamiltonian derived recently from group theoretical arguments by Kane and Mele. We find, for flat graphene, that the intrinsic spin-orbit coupling \(\Hi \propto \Delta^ 2\) and the Rashba coupling due to a perpendicular electric field \({\cal E}\), \(\Delta_{\cal E} \propto \Delta\), where \(\Delta\) is the intra-atomic spin-orbit coupling constant for carbon. Moreover we show that local curvature of the graphene sheet induces an extra spin-orbit coupling term \(\Delta_{\rm curv} \propto \Delta\). For the values of \(\cal E\) and curvature profile reported in actual samples of graphene, we find that \(\Hi < \Delta_{\cal E} \lesssim \Delta_{\rm curv}\). The effect of spin-orbit coupling on derived materials of graphene, like fullerenes, nanotubes, and nanotube caps, is also studied. For fullerenes, only \(\Hi\) is important. Both for nanotubes and nanotube caps \(\Delta_{\rm curv}\) is in the order of a few Kelvins. We reproduce the known appearance of a gap and spin-splitting in the energy spectrum of nanotubes due to the spin-orbit coupling. For nanotube caps, spin-orbit coupling causes spin-splitting of the localized states at the cap, which could allow spin-dependent field-effect emission.