Generalised Fibonacci manifolds |
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| Authors: | C Maclachlan A W Reid |
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| Institution: | (1) Department of Mathematical Sciences, University of Aberdeen, AB24 3QY Aberdeen, UK;(2) Department of Mathematics, University of Texas, 78712 Austin, TX, USA |
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| Abstract: | Fibonacci manifolds have a hyperbolic structure which may be defined via Fibonacci numbers. Using related sequences of Lucas numbers, other 3-manifolds are constructed, their geometric structures determined, and a curious relationship between the homology and the invariant trace-field examined.Supported by the Royal Society. |
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