We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first has minimal volume v m = 4π 2 /3 and two cusps. This example has the lowest number of cusps among known minimal volume hyperbolic 4-manifolds. The second has volume 2 ·v m and one cusp. It has lowest volume among known one-cusped hyperbolic 4-manifolds.
Leone Slavich (2015). Some hyperbolic 4-manifolds with low volume and number of cusps. TOPOLOGY AND ITS APPLICATIONS, 191, 1-9 [10.1016/j.topol.2015.05.004].
Some hyperbolic 4-manifolds with low volume and number of cusps
SLAVICH, LEONE
2015
Abstract
We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first has minimal volume v m = 4π 2 /3 and two cusps. This example has the lowest number of cusps among known minimal volume hyperbolic 4-manifolds. The second has volume 2 ·v m and one cusp. It has lowest volume among known one-cusped hyperbolic 4-manifolds.File in questo prodotto:
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