Geodesic
Spherical Structures on $(p, q)$ Torus Knots
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 38-44 Cet article a éte moissonné depuis la source Math-Net.Ru

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A family of cone-manifolds with spherical metric of $(p, q)$ torus knot type singularity was investigated. In case $p$ and $q$ are coprime one obtains a knot and otherwise one obtains a link with $\gcd(p, q)$ components. The domains of existence for spherical cone-metric wereobtained in terms of cone-angles and the analytical volume formulas were derived.
Keywords: spherical geometry, cone-manifolds, torus knots and links. 
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     title = {Spherical {Structures} on $(p, q)$ {Torus} {Knots}},
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A. A. Kolpakov. Spherical Structures on $(p, q)$ Torus Knots. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 38-44. http://geodesic.mathdoc.fr/item/VNGU_2009_9_4_a3/

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