Scalar curvature of color space as a source of information of new uniformity aspects concerning color representation systems

The solution of the differential Eq. Delta g omega =rho 2 (where Delta g is the Laplace operator with respect to the metric g and rho is the scalar curvature) can provide some information in order to obtain an isotropic color space, i.e. a system in which the differential chromaticity thresholds are circles of different sizes. In three dimensions Weyls' theorem offers a geometric criterion to analyze new line elements from a practical viewpoint.