Jr. Jimenez et al., SCALAR CURVATURE OF COLOR SPACE AS A SOURCE OF INFORMATION OF NEW UNIFORMITY ASPECTS CONCERNING TO COLOR REPRESENTATION SYSTEMS, Journal of optics, 24(6), 1993, pp. 243-249
The solution of the differential Eq. DELTA(g) omega = rho/2 (where DEL
TA(g) is the Laplace operator with respect to the metric g and p is th
e scalar curvature) can provide some information in order to obtain an
isotropic color space, i.e. a system in which the differential chroma
ticity thresholds are circles of different sizes. In three dimensions
Weyls' theorem offers a geometric criterion to analyze new line elemen
ts from a practical viewpoint.