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TWO-SIDED ASYMPTOTIC BOUNDS FOR THE COMPLEXITY OF SOME CLOSED HYPERBOLIC THREE-MANIFOLDS.

Authors :
Matveev, Sergei
Petronio, Carlo
Vesnin, Andrei
Source :
Journal of the Australian Mathematical Society. Apr2009, Vol. 86 Issue 2, p205-219. 15p. 4 Diagrams.
Publication Year :
2009

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MANIFOLDS (Mathematics)
*DIFFERENTIAL geometry
*TOPOLOGY
*FIBONACCI sequence
*NUMBER theory
*MATHEMATICS
*MATHEMATICAL analysis
*NUMERICAL analysis
*EXPONENTIAL functions

Details

Language :
English
ISSN :
14467887
Volume :
86
Issue :
2
Database :
Academic Search Index
Journal :
Journal of the Australian Mathematical Society
Publication Type :
Academic Journal
Accession number :
48188481
Full Text :
https://doi.org/10.1017/S1446788708000499
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