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Kolpakov, Alexander; Reid, Alan; Riolo, Stefano
Proceedings of the American Mathematical Society, 05/2020, Letnik: 148, Številka: 5Journal Article
In this note we show that there exist cusped hyperbolic 3-manifolds that embed geodesically but cannot bound geometrically. Thus, being a geometric boundary is a non-trivial property for such manifolds. Our result complements the work by Long and Reid on geometric boundaries of compact hyperbolic 4-manifolds and by Kolpakov, Reid, and Slavich on embedding arithmetic hyperbolic manifolds.
