Hyperbolic and Euclidean structures on cone-manifolds over trefoil knot with a bridge

Hyperbolic and Euclidean structures on cone-manifolds over trefoil knot with a bridge Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2025, Volume: 66, Number: 3, Pages: 800-811 Pages count : 12 DOI: 10.1134/S0037446625030164

Tags

cone-manifold, Euclidean structure, hyperbolic structure, volume, trefoil knot

Authors

Abrosimov N.V. ^1,2 , Grunwald L.A. ¹ , Mednykh A.D ^1,3 , Qutbaev A.B. ^1,4 , Vuong B. ²

Affiliations

1	Sobolev Institute of Mathematics, Novosibirsk, Russia
2	Tomsk State University, Regional Scientific and Educational Mathematical Center, Tomsk, Russia
3	Novosibirsk State University, Novosibirsk, Russia
4	Nukus State Pedagogical Institute named after Ajiniyaz, Nukus, Uzbekistan

Funding (2)

1	Sobolev Institute of Mathematics	FWNF-2022-0005
2	Министерство науки и высшего образования РФ	075-02-2025-1728/2

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.

Abrosimov N.V. , Grunwald L.A. , Mednykh A.D. , Qutbaev A.B. , Vuong B.
Hyperbolic and Euclidean structures on cone-manifolds over trefoil knot with a bridge
Siberian Mathematical Journal. 2025. V.66. N3. P.800-811. DOI: 10.1134/S0037446625030164 WOS Scopus РИНЦ OpenAlex

Submitted:	Jan 30, 2025
Accepted:	Apr 25, 2025
Published print:	Jun 2, 2025
Published online:	Jun 2, 2025

Web of science:	WOS:001500903100009
Scopus:	2-s2.0-105007135344
Elibrary:	82395842
OpenAlex:	W4410947128

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