Article ID Journal Published Year Pages File Type
4658271 Topology and its Applications 2015 9 Pages PDF
Abstract

We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first has minimal volume vm=4π2/3vm=4π2/3 and two cusps. This example has the lowest number of cusps among known minimal volume hyperbolic 4-manifolds. The second has volume 2⋅vm2⋅vm and one cusp. It has lowest volume among known one-cusped hyperbolic 4-manifolds.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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