Stolarsky's invariance principle for projective spaces
Combinatorics
2019-12-18 v2 Metric Geometry
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 (Theorem~1.1 ana Corollary~1.1) was given early in the previous paper [22], while the explicit formulas for the constants in the invariance principles for projective spaces (Theorem~1.2 and Corollary~1.2) are new.
Cite
@article{arxiv.1805.03541,
title = {Stolarsky's invariance principle for projective spaces},
author = {M. M. Skriganov},
journal= {arXiv preprint arXiv:1805.03541},
year = {2019}
}
Comments
arXiv admin note: the paper is a revised version of arXiv:1805.03541