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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1998 Volume 64, Issue 1, Pages 17–23 (Mi mzm1368)

This article is cited in 23 papers

Volumes of hyperbolic Löbell 3-manifolds

A. Yu. Vesnin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: In 1931 F. Löbell constructed the first example of a closed orientable three-dimensional hyperbolic manifold. In the present paper we study properties of closed hyperbolic 3-manifolds generalizing Löbell's classical example. Explicit formulas for the volumes of these manifolds in terms of the Lobachevski function are obtained.

UDC: 514.132

Received: 01.07.1996

DOI: 10.4213/mzm1368


 English version:
Mathematical Notes, 1998, 64:1, 15–19

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