  The roles of the lightest vector mesons $\rho$ and $\omega$ in the
multi-skyrmion states are studied using the hidden local symmetry approach upto
the next to leading order including the homogeneous Wess-Zumino terms. The low
energy constants in the effective field theory are determined by using the
Sakai-Sugimoto model and the flat-space five-dimensional Yang-Mills action.
With only two inputs, $m_\rho$, and $f_\pi$, all the low energy constants can
be determined without ambiguity. The vector meson effects can be investigated
by integrating them in order and the influence from the geometry can be
clarified by comparing the results using the low energy constants estimated
from the Sakai-Sugimoto model and the flat-space five-dimensional Yang-Mills
action. We find that the $\rho$ meson reduces the masses of the multi-skyrmion
states and increases the overlaps of the constituents of the multi-skyrmion
states while the $\omega$ meson repulses the constituents of the multi-skyrmion
states and increases their masses, therefore these vector mesons are important
in Skyrme model approach to nuclei. we also find that the warping factor which
is an essential element in the holographic model of QCD affects the properties
of the multi-skyrmion states and cannot be ignored.
