Environmental dependence of the stellar velocity dispersion at fixed parameters or for different galaxy families in the main galaxy sample of SDSS DR10

Using the apparent magnitude-limited Main Galaxy Sample of Sloan Digital Sky Survey Data Release 10 (SDSS DR10), we examine the environmental dependence of the stellar velocity dispersion at fixed parameters or for different galaxy families. Limiting or fixing certain parameters exerts substantial influence on the environmental dependence of the stellar velocity dispersion of the galaxies which suggests that much of the stellar velocity dispersion-density relation is likely attributable to the relations between other galaxy parameters and density. The environmental dependence of the stellar velocity dispersion for red galaxies is very strong in certain redshift bins. This dependence can still be observed in some redshift bins for late-type galaxies, HSM galaxies, and LSM galaxies but is fairly weak in all redshift bins for early-type galaxies and blue galaxies.