Derevnin, D.; Mednykh, A.; Mulazzani, M. Geometry of trefoil cone-manifold. (English) Zbl 1363.51005 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 57, 3-14 (2014). Summary: In this paper we prove that the trefoil knot cone manifold \(\mathcal{T} (\alpha)\) with cone angle \(\alpha\) is spherical for \(\pi/3 < \alpha < 5\pi/3\). We show also that its spherical volume is given by the formula Vol\((\mathcal{T} (\alpha))=(3\alpha - \pi)^2/12\). Cited in 2 Documents MSC: 51M10 Hyperbolic and elliptic geometries (general) and generalizations 51M25 Length, area and volume in real or complex geometry 26B15 Integration of real functions of several variables: length, area, volume 57M25 Knots and links in the \(3\)-sphere (MSC2010) Keywords:trefoil knot cone manifold; spherical volume PDFBibTeX XMLCite \textit{D. Derevnin} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 57, 3--14 (2014; Zbl 1363.51005)