We present a first morphometric investigation of a preliminary sample from
the SDSS of 154287 galaxies with apparent magnitude 14.5<m_r<17.5 and redshift
0.001<z<0.4. We measure the Minkowski Functionals, which are a complete set of
morphological descriptors. To account for the complicated wedge--like geometry
of the present survey data, we construct isodensity contour surfaces from the
galaxy positions in redshift space and employ two complementary methods of
computing the Minkowski Functionals. We find that the observed Minkowski
Functionals for SDSS galaxies are consistent with the prediction of a
Lambda--dominated spatially--flat Cold Dark Matter model with random--Gaussian
initial conditions, within the cosmic variance estimated from the corresponding
mock catalogue. We expect that future releases of the SDSS survey will allow us
to distinguish morphological differences in the galaxy distribution with regard
to different morphological type and luminosity ranges.Comment: 35 pages, 13 figures, accepted for publication in PASJ. For preprint
with higher-resolution PS files, see
http://www.a.phys.nagoya-u.ac.jp/~hikage/MFs/mf_sdss.ps.g