  We determine the second fundamental form of a variation of Hodge Structure of
a smooth projective hypersurface using the classical identification of the
Hodge structure and the action of the infinitesimal variation of Hodge
structure with pieces of the Jacobian Ideal of the hypersurface. This simple
algebraic description also implies that, in this case, the variation of Hodge
structure satisfies a new set of second order partial differential
equations.Comments are welcome!
