  The curvature effects in carbon nanotubes are studied analytically as a
function of chirality. The pi-orbitals are found to be significantly
rehybridized in all tubes, so that they are never normal to the tubes' surface.
This results in a curvature induced gap in the electronic band-structure, which
turns out to be larger than previous estimates. The tilting of the pi-orbitals
should be observable by atomic resolution scanning tunneling microscopy
measurements.
