Geodesic
Spherical Structures on $(p, q)$ Torus Knots
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 38-44

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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. 
@article{VNGU_2009_9_4_a3,
     author = {A. A. Kolpakov},
     title = {Spherical {Structures} on $(p, q)$ {Torus} {Knots}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {38--44},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2009_9_4_a3/}
}
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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/