Volumes of hyperbolic Löbell 3-manifolds. (English. Russian original) Zbl 0944.53022

Vesnin, A. Yu.

Math. Notes 64, No. 1, 17-23 (1998); translation from Mat. Zametki 64, No. 1, 13-24 (1998).

Author’s abstract: “In 1931, F. Löbell [Ber. Verh. Sächs. Akad. Leipzig 83, 167-174 (1931; Zbl 0002.40607)] 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 Lobachevskij function are obtained”.

MSC:

53C20	Global Riemannian geometry, including pinching
57M50	General geometric structures on low-dimensional manifolds

Keywords:

finite volume; hyperbolic manifold; Lobachevsky function

Citations:

Zbl 0002.40607

Software:

SnapPea

References:

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