# CONFLUENTES MATHEMATICI

A short proof of unique ergodicity of horospherical foliations on infinite volume hyperbolic manifolds
Confluentes Mathematici, Tome 8 (2016) no. 1, pp. 165-174.

We provide a new proof of the fact that the horospherical group $N acting on the frame bundle $\Gamma \setminus G$ of a hyperbolic manifold admits a unique invariant ergodic measure (up to multiplicative constants) supported on the set of frames whose orbit under the geodesic flow comes back infinitely often in a compact set. This result is known, but our proof is more direct and much shorter.

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DOI : https://doi.org/10.5802/cml.29
Classification : 22E40,  22D40,  28D15,  37A17,  37A25
Mots clés : unique ergodicity, horospherical group, frame bundle, in nite volume hyperbolic manifolds
@article{CML_2016__8_1_165_0,
author = {Barbara Schapira},
title = {A short proof of unique ergodicity of horospherical foliations on infinite volume hyperbolic manifolds},
journal = {Confluentes Mathematici},
pages = {165--174},
publisher = {Institut Camille Jordan},
volume = {8},
number = {1},
year = {2016},
doi = {10.5802/cml.29},
language = {en},
url = {https://cml.centre-mersenne.org/articles/10.5802/cml.29/}
}
Schapira, Barbara. A short proof of unique ergodicity of horospherical foliations on infinite volume hyperbolic manifolds. Confluentes Mathematici, Tome 8 (2016) no. 1, pp. 165-174. doi : 10.5802/cml.29. https://cml.centre-mersenne.org/articles/10.5802/cml.29/

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