Abstract
Cut loci in geometric three-manifolds equipped with their natural metrics are an interesting source of spines with small number of vertices. An application of this principle to lens manifolds reveals an interplay between their geometry and topology, combinatorial types of convex hulls of group orbits, and estimates of rotation distance between certain triangulations. To cite this article: S. Anisov, C. R. Acad. Sci. Paris, Ser. I 342 (2006).
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