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Tight 9-designs on two concentric spheres (1006.0443v1)
Published 2 Jun 2010 in math.CO
Abstract: The main purpose of this paper is to show the nonexistence of tight Euclidean 9-designs on 2 concentric spheres in $\mathbb Rn$ if $n\geq 3.$ This in turn implies the nonexistence of minimum cubature formulas of degree 9 (in the sense of Cools and Schmid) for any spherically symmetric integrals in $\mathbb Rn$ if $n\geq 3.$
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