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Conservative Action of Kleinian Groups with Respect to the Patterson-Sullivan Measure
| Content Provider | Semantic Scholar |
|---|---|
| Author | Matsuzaki, Katsuhiko |
| Copyright Year | 2004 |
| Abstract | For a non-elementary Kleinian group G acting on an n-dimensional sphere, we consider a conformally invariant probability measure of the dimension at the critical exponent of the Poincaré series. When this diverges, such a measure is unique and it is called the Patterson-Sullivan measure. We prove that the action of any non-trivial normal subgroup Г of G is conservative with respect to the Patterson-Sullivan measure for G. |
| Starting Page | 469 |
| Ending Page | 479 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF03321860 |
| Alternate Webpage(s) | http://www.heldermann-verlag.de/cmf/cmf02/cmf0227.pdf |
| Alternate Webpage(s) | http://www.f.waseda.jp/matsuzak/papers/cmft.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/BF03321860 |
| Volume Number | 2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
