Alignments of the Galaxies in and around the Virgo Cluster with the
  Local Velocity Shear
  An observational evidence is presented for the alignment between the cosmic
sheet and the principal axis of the velocity shear field at the position of the
Virgo cluster. The galaxies in and around the Virgo cluster from the Extended
Virgo Cluster Catalog recently constructed by Kim et al. are used to determine
the direction of the local sheet. The peculiar velocity field reconstructed
from the Sloan Digital Sky Survey Data Release 7 is analyzed to estimate the
local velocity shear tensor at the Virgo center. Showing first that the minor
principal axis of the local velocity shear tensor is almost parallel to the
line of sight direction, we detect a clear signal of alignment between the
positions of the Virgo satellites and the intermediate principal axis of the
local velocity shear projected onto the plane of the sky. Furthermore, the
dwarf satellites are found to appear more strongly aligned than the normal
counterparts, which is interpreted as indication of the following: (i) The
normal and the dwarf satellites fall in the Virgo cluster preferentially along
the local filament and the local sheet, respectively. (ii) The local filament
is aligned with the minor principal axis of the local velocity shear while the
local sheet is in parallel to the plane spanned by the minor and the
intermediate principal axes. Our result is consistent with the recent numerical
claim that the velocity shear is a good tracer of the cosmic web.
