Abstract:
We analyse a set of volume-limited samples from the Sloan Digital Sky Survey (SDSS) to study the dependence of galaxy colour
on different environments of the cosmic web. We measure the local dimension of galaxies to determine the geometry of their
embedding environments and find that filaments host a higher fraction of red galaxies than sheets at each luminosity. We repeat
the analysis at a fixed density and recover the same trend, which shows that galaxy colours depend on geometry of environments
besides local density. At a fixed luminosity, the fraction of red galaxies in filaments and sheets increases with the extent of these
environments. This suggests that the bigger structures have a larger baryon reservoir favouring higher accretion and larger stellar
mass. We find that the mean colour of the red and blue populations are systematically higher in the environments with smaller
local dimension and increases monotonically in all the environments with luminosity. We observe that the bimodal nature of the
galaxy colour distribution persists in all environments and all luminosities, which suggests that the transformation from blue to
red galaxy can occur in all environments
