Abstract
The Riemann rotational model is an extension of the Bohr-Mottelson collective model which allows for linear nuclear currents, indexed by the rigidity r, between the limits of rigid rotation r=1 and irrotational flow r=0. The Riemann moment of inertia and transverse form factors are shown to be weighted linear combinations of the corresponding rigid and irrotational values. The resulting simple analytic formulas for the transverse factors are useful for the analysis and interpretation of data from state of the art electron scattering experiments.