Some remarks on generalized roundness |
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| Authors: | Ghislain Jaudon |
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| Affiliation: | (1) Section de Mathématiques, Université de Genève, 2-4 rue du Lièvre, Case postale 64, 1211 Geneve 4, Switzerland |
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| Abstract: | By using the links between generalized roundness, negative type inequalities and equivariant Hilbert space compressions, we obtain that the generalized roundness of the usual Cayley graph of finitely generated free groups and free abelian groups of rank ≥ 2 equals 1. This answers a question of J-F. Lafont and S. Prassidis. |
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| Keywords: | Generalized roundness Negative type functions Hilbert space compression CAT(0) cube complexes |
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