Geodesic
CRITICAL EXPONENT OF NEGATIVELY CURVED THREE MANIFOLDS
Glasgow mathematical journal, Tome 45 (2003) no. 2, pp. 373-387

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DOI

We prove that for a negatively pinched ($-b^2\le\cK\le -1$) topologically tame 3-manifold $\skew5\tilde{M}/\Gamma$, all geometrically infinite ends are simply degenerate. And if the limit set of $\Gamma$ is the entire boundary sphere at infinity, then the action of $\Gamma$ on the boundary sphere is ergodic with respect to harmonic measure, and the Poincaré series diverges when the critical exponent is 2.
DOI : 10.1017/S0017089503001332
Mots-clés : 57M50, 57M60 
HOU, YONG. CRITICAL EXPONENT OF NEGATIVELY CURVED THREE MANIFOLDS. Glasgow mathematical journal, Tome 45 (2003) no. 2, pp. 373-387. doi: 10.1017/S0017089503001332
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     title = {CRITICAL {EXPONENT} {OF} {NEGATIVELY} {CURVED} {THREE} {MANIFOLDS}},
     journal = {Glasgow mathematical journal},
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     year = {2003},
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     doi = {10.1017/S0017089503001332},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001332/}
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