Explicit geodesic flow-invariant distributions using SL2(ℝ)-representation ladders
An explicit construction of a geodesic flow-invariant distribution lying in the discrete series of weight 2k isotopic component is found, using techniques from representation theory of SL2(ℝ). It is found that the distribution represents an AC measure on the unit tangent bundle of the hyperbolic pla...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1299 |
| Summary: | An explicit construction of a geodesic flow-invariant distribution lying in the
discrete series of weight 2k isotopic component is found, using
techniques from representation theory of SL2(ℝ). It is found that the distribution represents an AC measure on the unit tangent bundle
of the hyperbolic plane minus an explicit singular set. Finally, via an averaging argument, a geodesic flow-invariant distribution on a closed hyperbolic surface is obtained. |
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| ISSN: | 0161-1712 1687-0425 |