Optimal asymptotic bounds for spherical designs

Details Optimal asymptotic bounds for spherical designs Optimal asymptotic bounds for spherical designs

2010-09-22

arxiv.org/abs/1009.4407v3

Mathematics

Metric Geometry

13 pages

Scientific paper

In this paper we prove the conjecture of Korevaar and Meyers: for each $N\ge
c_dt^d$ there exists a spherical $t$-design in the sphere $S^d$ consisting of
$N$ points, where $c_d$ is a constant depending only on $d$.

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