  We consider the electroproduction of two vector mesons with a large rapidity
gap between them on a nucleon target in the process $ \gamma ^* N \to \rho_1
\rho_2 N'$. We calculate the Born term for this process within the collinear
factorization framework. The resulting scattering amplitude may be represented
as a convolution of an impact factor describing the $\gamma ^* \to \rho_1$
transition and an amplitude describing the $N\to \rho_2 N'$ transition. The
latter amplitude is analogous to deeply virtual electroproduction of a meson,
the virtual photon being replaced by two gluon (Pomeron) exchange . The long
distance part of this amplitude is described by Generalized Parton
Distributions (GPD) and meson light-cone distributions. The selection of a
transversely polarized vector meson $\rho_2$ provides the first feasible
selective access to chiral-odd GPD.
