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

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.

Authors

Alexander Mednykh (ORCID: https://orcid.org/0000-0003-3084-1225)
Nikolay Abrosimov (ORCID: https://orcid.org/0000-0001-5429-6589)
L. A. Grunwald (ORCID: https://orcid.org/0000-0003-4622-5259)
A. B. Qutbaev
B. Vuong

Institutions

Novosibirsk State University (RU)
National Research Tomsk State University (RU)
Sobolev Institute of Mathematics (RU)
Nukus State Pedagogical Institute named after Ajiniyaz (UZ)

Publication Details

Journal: Siberian Mathematical Journal
Published: 2025-05-01
DOI: https://doi.org/10.1134/s0037446625030164
Primary Topic: Elasticity and Wave Propagation
Type: article
Field-Weighted Citation Impact: 0.00

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article

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

Alexander Mednykh, Nikolay Abrosimov, L. A. Grunwald, A. B. Qutbaev et al.

May 1, 2025

Siberian Mathematical Journal

Elasticity and Wave Propagation

article

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

Alexander Mednykh, Nikolay Abrosimov, L. A. Grunwald, A. B. Qutbaev, B. Vuong

May 1, 2025article en

Abstract

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.

Siberian Mathematical JournalVol. 66(3)

Novosibirsk State University (RU), National Research Tomsk State University (RU), Sobolev Institute of Mathematics (RU), Nukus State Pedagogical Institute named after Ajiniyaz (UZ)

Openalex Percentile: Top 87%

Elasticity and Wave Propagation

DOI Source OpenAlex

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