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- Title
TWO-SIDED ASYMPTOTIC BOUNDS FOR THE COMPLEXITY OF SOME CLOSED HYPERBOLIC THREE-MANIFOLDS.
- Authors
Matveev, Sergei; Petronio, Carlo; Vesnin, Andrei
- Abstract
We establish two-sided bounds for the complexity of two infinite series of closed orientable three-dimensional hyperbolic manifolds, the Löbell manifolds and the Fibonacci manifolds. The manifolds of the two series are indexed by an integer n and the corresponding complexity estimates are both linear in n.
- Subjects
MANIFOLDS (Mathematics); DIFFERENTIAL geometry; TOPOLOGY; FIBONACCI sequence; NUMBER theory; MATHEMATICS; MATHEMATICAL analysis; NUMERICAL analysis; EXPONENTIAL functions
- Publication
Journal of the Australian Mathematical Society, 2009, Vol 86, Issue 2, p205
- ISSN
1446-7887
- Publication type
Article
- DOI
10.1017/S1446788708000499