Stolarsky's invariance principle for projective spaces
Stolarsky's invariance principle for projective spaces
M. Skriganov
2018 · DOI: 10.1016/j.jco.2019.101428
Journal of Complexity · 14 Citations
TLDR
It is shown that Stolarsky's invariance principle, known for point distributions on the Euclidean spheres, can be extended to the real, complex, and quaternionic projective spaces and the octonionics projective plane.
Abstract
We show that Stolarsky's invariance principle, known for point distributions on the Euclidean spheres, can be extended to the real, complex, and quaternionic projective spaces and the octonionic projective plane. A part of the results (Theorem1.1 ana Corollary1.1) was given early in the previous paper [22], while the explicit formulas for the constants in the invariance principles for projective spaces (Theorem1.2 and Corollary1.2) are new.