VOLUMES OF TWO-BRIDGE CONE MANIFOLDS IN SPACES OF CONSTANT CURVATURE

VOLUMES OF TWO-BRIDGE CONE MANIFOLDS IN SPACES OF CONSTANT CURVATURE Full article

Journal

Transformation Groups
ISSN: 1083-4362 , E-ISSN: 1531-586X

Output data

Year: 2021, Volume: 26, Number: 2, Pages: 601-629 Pages count : 29 DOI: 10.1007/s00031-020-09632-x

Authors

Mednykh A.D. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, pr. Koptuga, 4, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Pirogova st., 2, Novosibirsk, 630090, Russian Federation

We investigate the existence of hyperbolic, spherical or Euclidean structure on cone-manifolds whose underlying space is the three-dimensional sphere and singular set is a given two-bridge knot. For two-bridge knots with not more than 7 crossings we present trigonometrical identities involving the lengths of singular geodesics and cone angles of such cone-manifolds. Then these identities are used to produce exact integral formulae for the volume of the corresponding cone-manifold modeled in the hyperbolic, spherical and Euclidean geometries. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Mednykh A.D.
VOLUMES OF TWO-BRIDGE CONE MANIFOLDS IN SPACES OF CONSTANT CURVATURE
Transformation Groups. 2021. V.26. N2. P.601-629. DOI: 10.1007/s00031-020-09632-x WOS Scopus OpenAlex

Web of science:	WOS:000592131400001
Scopus:	2-s2.0-85096541189
OpenAlex:	W3108919698

DB	Citing
Scopus	3
OpenAlex	9
Web of science	4