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Aloff-Wallach Spaces: Volumes, Curvatures, Injectivity Radii

Mikhail Alyurov
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Abstract

In this paper, we obtain two-sided bounds for the volumes of the Aloff-Wallach spaces $W(p,q),$ compute maximal and minimal sectional curvature for the spaces $W(n,n+1),$ and use this information to estimate the injectivity radii: We derive an upper bound for the injectivity radii of $W(p,q)$ and a lower bound for the injectivity radii of $W(n,n+1).$

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Mikhail Alyurov. 2005-11-24. Aloff-Wallach Spaces: Volumes, Curvatures, Injectivity Radii. https://arxiv.org/abs/math/0511620

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