On the second smallest distance between finitely many points on the sphere |
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| Authors: | András Bezdek Károly Bezdek |
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| Affiliation: | (1) Mathematical Institute of the Hungarian Acad. of Sciences, Reáltanoda u. 13-15, 1053 Budapest, Hungary;(2) Department of Geometry, Eötvös Loránd University, Rákóczi ut 5, 1088 Budapest, Hungary |
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| Abstract: | In the following note we investigate the second smallest distance between finitely many points on the sphere. Actually we look for the smallest upper bound for the second smallest distance between n points on the unit sphere. We solve this problem for n=9 and also we give a general, non-trivial upper bound for the second smallest distance of n points with n 9.Supported by the Hungarian National Foundation for Scientific Research, Number 1238. |
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