  The effects, originating from the longitudinal gluon polarization, are
considered. We derive the analogue of the Wandzura-Wilczek relation for the
light-cone distributions of polarized gluons in a transversely polarized
nucleon. The short distance cross-section is entirely due to the intrinsic
transverse momenta of gluon in the nucleon, in complete analogy to the quark
case. Numerical estimate for the double spin transverse asymmetries are
presented. The distribution of longitudinal gluons in a nucleon, introduced
earlier by Gorsky and Ioffe, is estimated from below by making use of the
positivity of density matrix. The similar upper bound for the nonperturbative
polarized charm is discussed.
