@article{TSG_1997-1998__16__9_0, author = {Izeki, Hiroyasu and Nayatani, Shin}, title = {Canonical metric on the domain of discontinuity of a kleinian group}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {9--32}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {16}, year = {1997-1998}, zbl = {0979.53036}, language = {en}, url = {http://www.numdam.org/item/TSG_1997-1998__16__9_0/} }
TY - JOUR AU - Izeki, Hiroyasu AU - Nayatani, Shin TI - Canonical metric on the domain of discontinuity of a kleinian group JO - Séminaire de théorie spectrale et géométrie PY - 1997-1998 SP - 9 EP - 32 VL - 16 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/item/TSG_1997-1998__16__9_0/ LA - en ID - TSG_1997-1998__16__9_0 ER -
%0 Journal Article %A Izeki, Hiroyasu %A Nayatani, Shin %T Canonical metric on the domain of discontinuity of a kleinian group %J Séminaire de théorie spectrale et géométrie %D 1997-1998 %P 9-32 %V 16 %I Institut Fourier %C Grenoble %U http://www.numdam.org/item/TSG_1997-1998__16__9_0/ %G en %F TSG_1997-1998__16__9_0
Izeki, Hiroyasu; Nayatani, Shin. Canonical metric on the domain of discontinuity of a kleinian group. Séminaire de théorie spectrale et géométrie, Tome 16 (1997-1998), pp. 9-32. http://www.numdam.org/item/TSG_1997-1998__16__9_0/
[1] Kobayashi conformai merrieon manifolds, Chern-Simons and n-invariants, Internat. J. Math., 2 ( 1991), 361-382. | MR | Zbl
. -[2] Volume et entropie minimale des espaces localement symétriques, Invent. Math., 103 ( 1991), 417-445. | EuDML | MR | Zbl
, and . -[3] Entropies et rigidités des espaces localement symétriques de courbure strictement négative, G.A.F.A., 5 ( 1995), 731-799. | EuDML | MR | Zbl
, and . -[4] Lemme de Schwarz réel et applications, preprint .
, and . -[5] Differential Forms in Algebraic Topology, GTM 82, Springer-Verlag ( 1982). | MR | Zbl
and . -[6] Sur le birapport au bord des CAT(-l)-sepaces, I.H.E.S. Publ . Math. , 83 ( 1996), 95 - 104. | EuDML | Numdam | MR | Zbl
. -[7]
. - Thesis.[8] Hausdorff dimension of quasi-circles, Publ. Math. I.H.E.S., 50 ( 1979), 11-25. | EuDML | Numdam | Zbl
. -[9] Cohomology of Groups, GTM 87, Springer-Verlag ( 1982). | MR | Zbl
. -[10] Conformally natural extension of homeomorphisms of the circle, Acta Math., 157 ( 1986), 23 - 48. | MR | Zbl
and . -[11] Limit sets of Kleinian groups and conformally flat Riemannian manifolds, Invent. Math., 122 ( 1995), 603 - 625. | MR | Zbl
. -[12] The quasiconformal stability of Klein ian groups and an embedding ofa space of flat conformal structures, preprint | Zbl
. -[13] A canonical metric for Möbius structures and its applications, Math. Z., 216 ( 1994), 89-129. | MR | Zbl
and . -[14] A Riemannian metric invariant under Möbius transformations in Rn, Complex analysis, Joensuu 1987, 223-235, Lecture Notes in Math., 1351, Springer, Berlin-New York, 1988. | MR | Zbl
. -[15] Hodge theoryon hyperbolic manifolds, Duke Math. J., 60 ( 1990),509-559. | MR | Zbl
and . -[16] Geometrically finite Kleinian groups: the completeness of Nayatani's metric, C. R.Acad. Sci. Paris, 325 ( 1997), 1065-1070. | MR | Zbl
. -[17] Patterson-Sullivan measure and conformally flat metrics, Math. Z., 225 ( 1997), 115-131. | MR | Zbl
. -[18] Kleinian groups and conformally flat metrics, Geometry and Global Analysis, Report of the First MSJ International Research Institute, Kotake et al. éd., Tohoku University ( 1993), 341-349. | MR | Zbl
. -[19] The ergodic theory of discrete groups, LMS Lect. Notes Ser. 143, Cambridge University Press, Cambridge, 1989. | MR | Zbl
. -[20] Matsushima's and Garland's vanishing theorems, and property(T), talk given at Max-Planck-Institut für Mathematik in den Naturwissenschaften in Leipzig ( 1996).
. -[21] The limit set of a Fuchsian group, Acta Math., 136 ( 1976), 241-273. | MR | Zbl
. -[22] Conformally flat manifolds, Kleinian groups and scalar curvature, Invent. Math., 92 ( 1988), 47-71. | MR | Zbl
and . -[23] The density at infinity of a discrete group of hyperbolic motions, I.H.E.S. Publ. Math., 50 ( 1979), 171-202. | Numdam | MR | Zbl
. -[24] Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups, Acta Math., 153 ( 1984), 259-277. | MR | Zbl
. -[25] Dimension and rigidity of quasi-fuchsian representations, Ann. Math., 143 ( 1996), 331-355. | MR | Zbl
. -