We explore possible correlations between light profile shapes, as
parameterized by the Sersic index or the concentration index C_re(1/3), and
relevant stellar population parameters in early-type galaxies. Mean luminosity
weighted ages, metallicities and abundance ratios were obtained from spectra of
very high signal-to-noise and stellar population models that synthesize galaxy
spectra at the resolution given by their velocity dispersions, in combination
with an age indicator that is virtually free of the effects of metallicity. We
do not find any significant correlation between the Sersic index (or C_re(1/3))
and mean age or metallicity, but a strong positive correlation of the shape
parameters with [Mg/Fe] abundance ratio. This dependence is as strong as the
[Mg/Fe] vs. velocity dispersion and C_re(1/3) vs. velocity dispersion
relations. We speculate that early-type galaxies settle up their structure on
time-scales in agreement with those imposed by their [Mg/Fe] ratios. This
suggest that the global structure of larger galaxies, with larger [Mg/Fe]
ratios and shorter time-scales, was already at place at high z, without
experiencing a significant time evolution.Comment: 5 pages, 3 figures (to appear in The Astrophysical Journal Letters