A. Yu. Vesnin, V. V. Tarkaev, E. A. Fominykh, “Three-dimensional hyperbolic manifolds with cusps of complexity 10 having maximal volume”, Trudy Inst. Mat. i Mekh. UrO RAN, 2014, Volume 20, Number 2,Pages <nobr>74

This article is cited in 4 papers

Three-dimensional hyperbolic manifolds with cusps of complexity 10 having maximal volume

A. Yu. Vesnin^ab, V. V. Tarkaev^cd, E. A. Fominykh^cd

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Omsk State Technical University
^c Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^d Chelyabinsk State University

Abstract: We give a complete list of three-dimensional orientable hyperbolic manifolds with cusps obtained by gluing together at most ten regular ideal hyperbolic tetrahedra. Although the list is exhaustive, the question of nonhomeomorphism remains open for some pairs of manifolds with one, two, and three cusps.

Keywords: hyperbolic manifolds with cusps, complexity of manifolds.

UDC: 515.162

Received: 12.03.2014