Explicit geodesic flow-invariant distributions using SL 2 ( â„ ) -representation ladders

Alvaro Alvarez-Parrilla

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-17

Abstract:

An explicit construction of a geodesic flow-invariant distribution lying in the discrete series of weight 2 k isotopic component is found, using techniques from representation theory of SL 2 ( â„ ) . 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:401671

DOI: 10.1155/IJMMS.2005.1299

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