  The existence of nontrivial cup products or Massey products in the cohomology
of a manifold leads to inequalities of systolic type, but in general such
inequalities are not optimal (tight). Gromov proved an {optimal} systolic
inequality for complex projective space. We provide a natural extension of
Gromov's inequality to manifolds whose fundamental cohomology class is a cup
product of 2-dimensional classes.
