Is it possible to define generalisations of the grad, rot and div operators
in classical projective geometry using homogenous coordinates?
I know for example in $RP^2$ that the grad of a homogeneous function $c: F(x,y,z)=0 \leftrightarrow F(\rho x,\rho y, \rho z)=0$ gives the coordinates of the tangent line in point $(x,y,z)$ to the curve $c$.
A literature reference or a link to an article is also appreciated.