Alvaro Alvarez-Parrilla, "Explicit geodesic flow-invariant distributions using -representation ladders", International Journal of Mathematics and Mathematical Sciences, vol. 2005, Article ID 401671, 17 pages, 2005. https://doi.org/10.1155/IJMMS.2005.1299
Explicit geodesic flow-invariant distributions using -representation ladders
An explicit construction of a geodesic flow-invariant distribution lying in the discrete series of weight isotopic component is found, using techniques from representation theory of . 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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