Geodesic Flow on the Quotient Space of the Action of ⟨z + 2;−1/z 〉 on the Upper Half Plane
Let G be the group generated by z ↦ z+2 and z → -1/z , z ∈ ℂ. This group acts on the upper half plane and the associated quotient surface is topologically a sphere with two cusps. Assigning a “geometric” code to an oriented geodesic not going to cusps, with alphabets in ℤ \ {0}, enables us to conjug...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2012-12-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/v10309-012-0054-z |