Top: Ratio of radial to tangential rms velocity, plotted as a function of central luminosity density slope. Each galaxy appears twice in the plot: the open symbols represent the ratio at R_e/4, while the filled symbols are the ratio in the central bin. An isotropic dispersion tensor corresponds to ﹩\sigma _{r}/ \sigma _{t}=1﹩. In addition to the 12 galaxies in this paper, we include an additional five presented in Table 3. The division between core and power‐law galaxies is around ﹩d\mathrm{log}\,\nu / d\mathrm{log}\,r=-1.3﹩, with core galaxies having flatter profiles. Bottom: Change in shape of the velocity dispersion tensor (ratio of radial to tangential motion) from the center to R_e/4 as a function of central luminosity density slope.