TY - JOUR

T1 - Hyperbolic and Euclidean Structures on Cone-Manifolds over Trefoil Knot with a Bridge

AU - Abrosimov, N. V.

AU - Grunwald, L. A.

AU - Mednykh, A. D.

AU - Qutbaev, A. B.

AU - Vuong, B.

N1 - The work of Abrosimov, Grunwald, and Mednykh was carried out within the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0005). The work of Vuong was supported by the Ministry of Science and Higher Education of the Russian Federation (Agreement 075–02–2025–1728/2).

PY - 2025/6/2

Y1 - 2025/6/2

N2 - 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.

AB - 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.

KW - 514.132+514.123

KW - Euclidean structure

KW - cone-manifold

KW - hyperbolic structure

KW - trefoil knot

KW - volume

UR - https://www.mendeley.com/catalogue/8e7e2641-0fea-3f19-a976-c450b3b53c55/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-105007135344&origin=inward&txGid=f995735fb5c7d938b1f706f3d9f177a6

U2 - 10.1134/S0037446625030164

DO - 10.1134/S0037446625030164

M3 - Article

VL - 66

SP - 800

EP - 811

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -