  The cross section of the exclusive $\pi^0$ and $\eta$ electroproduction
reaction $ep\to e^\prime p^\prime \pi^0/\eta$ was measured at Jefferson Lab
with a 5.75-GeV electron beam and the CLAS detector. Differential cross
sections $d^4\sigma/dtdQ^2dx_Bd\phi$ and structure functions $\sigma_U =
\sigma_T+\epsilon\sigma_L, \sigma_{TT}$ and $\sigma_{LT}$, as functions of $t$
were obtained over a wide range of $Q^2$ and $x_B$. At low $t$, both $\pi^0$
and $\eta$ are described reasonably well by Generalized Parton Distributions
(GPDs) in which chiral-odd transversity GPDs are dominant. Generalized form
factors of the transversity GPDs $\langle H_T \rangle^{\pi,\eta}$ and $\langle
\bar{E}_T \rangle^{\pi,\eta}$ were directly extracted from the experimental
observables. The combined $\pi^0$ and $\eta$ data opens the way for the flavor
decomposition of the transversity GPDs. The first ever demonstration of this
decomposition was done for the transversity GPDs $H_T$ and $\bar E_T$. GPD
$\bar E_T$ is connected with the density of the polarized quarks in an
unpolarized nucleon in the impact parameter space. The spin density of
polarized $u$ and $d$-quarks was evaluated for different values of Feynman $x$
from the GPD model tuned to described the experimental data.
