Hyperbolic and Euclidean Structures on Cone-Manifolds over Trefoil Knot with a Bridge
Nikolay AbrosimovRegional Scientific and Educational Mathematical Center, Tomsk State University, Tomsk, RussiaL. A. GrunwaldSobolev Institute of Mathematics, Novosibirsk, RussiaAlexander MednykhNovosibirsk State University, Novosibirsk, RussiaA. B. QutbaevSobolev Institute of Mathematics, Novosibirsk, RussiaB. VuongRegional Scientific and Educational Mathematical Center, Tomsk State University, Tomsk, Russia
Ochiq kirish: yoʻq
ABI
Annotatsiya
We study cone-manifolds whose singular set is the trefoil knot with a bridge and whose underlying space is the 3-dimensional sphere. We also establish necessary and sufficient conditions for the existence of such manifolds in both Euclidean and hyperbolic geometries, and derive explicit volume formulas in each case.
Hali tarjima qilinmagan
Mavzular
Identifikatorlar
Iqtiboslar va manbalar
0 ta iqtibos7 ta foydalanilgan manba