Back to Search
Start Over
Hyperbolicity and Volume of Hyperbolic Bongles
- Publication Year :
- 2025
-
Abstract
- We consider a simple but infinite class of staked links known as bongles. We provide necessary and sufficient conditions for these bongles to be hyperbolic. Then, we prove that all balanced hyperbolic $n$-bongles have the same volume and the corresponding volume is an upper bound on the volume of any hyperbolic $n$-bongle for $n$ even. Moreover, all hyperbolic $n$-bongles have volume strictly less than $5n(1.01494\dots)$. We also include explicit volume calculations for all hyperbolic 3-bongles through 6-bongles.<br />Comment: 16 pages, 11 figures
- Subjects :
- Mathematics - Geometric Topology
57K32, 57K10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2501.02360
- Document Type :
- Working Paper