Geodesic laminations with transverse Hölder distributions
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 30 (1997) no. 2, pp. 205-240.
@article{ASENS_1997_4_30_2_205_0,
     author = {Bonahon, Francis},
     title = {Geodesic laminations with transverse {H\"older} distributions},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {205--240},
     publisher = {Elsevier},
     volume = {Ser. 4, 30},
     number = {2},
     year = {1997},
     doi = {10.1016/s0012-9593(97)89919-3},
     mrnumber = {98b:57027},
     zbl = {0887.57018},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/s0012-9593(97)89919-3/}
}
TY  - JOUR
AU  - Bonahon, Francis
TI  - Geodesic laminations with transverse Hölder distributions
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1997
SP  - 205
EP  - 240
VL  - 30
IS  - 2
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/s0012-9593(97)89919-3/
DO  - 10.1016/s0012-9593(97)89919-3
LA  - en
ID  - ASENS_1997_4_30_2_205_0
ER  - 
%0 Journal Article
%A Bonahon, Francis
%T Geodesic laminations with transverse Hölder distributions
%J Annales scientifiques de l'École Normale Supérieure
%D 1997
%P 205-240
%V 30
%N 2
%I Elsevier
%U http://www.numdam.org/articles/10.1016/s0012-9593(97)89919-3/
%R 10.1016/s0012-9593(97)89919-3
%G en
%F ASENS_1997_4_30_2_205_0
Bonahon, Francis. Geodesic laminations with transverse Hölder distributions. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 30 (1997) no. 2, pp. 205-240. doi : 10.1016/s0012-9593(97)89919-3. http://www.numdam.org/articles/10.1016/s0012-9593(97)89919-3/

[BiS] J. S. Birman, C. Series, Geodesics with bounded intersection numbers on surfaces are sparsely distributed (Topology, Vol. 24, 1985, pp. 217-225). | MR | Zbl

[Bo1] F. Bonahon, Bouts des variétés hyperboliques de dimension 3 (Ann. of Math., Vol. 124, 1986, pp. 71-158). | MR | Zbl

[Bo2] F. Bonahon, The geometry of Teichmüller space via geodesic currents (Invent. Math., Vol. 92, 1988, pp. 139-162). | MR | Zbl

[Bo3] F. Bonahon, Ensembles limites et applications (45 minute address), Proceedings of the International Congress of Mathematicians, Kyoto, Japan, 1990 Springer-Verlag, Berlin Heidelberg, New York, 1991, pp. 599-608. | MR | Zbl

[Bo4] F. Bonahon, Transverse Hölder distributions for geodesic laminations, to appear in Topology. | Zbl

[Bo5] F. Bonahon, Shearing hyperbolic surfaces, bending pleated surfaces, and Thurston's, symplectic form (Ann. Fac. Sci. Toulouse, Vol. 5, 1996, pp. 233-297). | Numdam | MR | Zbl

[Bo6] F. Bonahon, Variations of the boundary geometry of convex cores of hyperbolic 3-manifolds, preprint, 1996.

[Bo7] F. Bonahon A Schläfli-type formula for the volume of convex cores of hyperbolic 3-manifolds, in preparation.

[CEG] R. D. Canary, D. B. A. Epstein and P. Green, Notes on notes of Thurston (Analytical and Geometrical aspects of Hyperbolic space, D. B. A. Epstein ed., LMS Lecture Notes Series Vol. 111, 1987 Cambridge University Press, pp. 3-92). | MR | Zbl

[CaB] A. Casson and S. A. Bleiler, Automorphisms of surfaces after Thurston and Nielsen, 1988 Cambridge University Press. | Zbl

[EpM] D. B. A. Epstein and A. Marden, Convex hulls in hyperbolic spaces, a theorem of Sullivan, and measured pleated surfaces (Analytical and geometric aspects of hyperbolic space, D. B. A. Epstein ed., 1986, Cambridge University Press, pp. 113-253). | MR | Zbl

[FLP] A. Fathi, F. Laudenbach and V. Poenaru, Travaux de Thurston sur les surfaces (Astérisque 66-67, Société Mathématique de France, 1979). | MR

[Fl] W. J. Floyd, Group completions and limit sets of Kleinian groups (Invent. Math., Vol. 57, 1980, pp. 205-218). | EuDML | MR | Zbl

[Gh] E. Ghys, Le cercle à l'infini des surfaces à courbure négative, (45 minute address) (Proceedings of the International Congress of Mathematicians, Kyoto, Japan, 1990, Springer-Verlag, Berlin, Heidelberg, New York, 1991, pp. 501-509). | MR | Zbl

[Gr] M. Gromov, Hyperbolic groups, (Essays in group theory, S. M. Gersten ed., MSRI Publications, Vol. 8, Springer-Verlag, Berlin, Heidelberg, New York, 1987, pp. 75-263). | MR | Zbl

[Ka] A. Katok, Invariant measures of flows on oriented surfaces, (Soviet Math. Dokl., Vol. 14, 1973, pp. 1104-1108). | Zbl

[Ke] S. P. Kerckhoff, The Nielsen realization problem (Ann. of Math., Vol. 117, 1983, pp. 235-265). | MR | Zbl

[Le] G. Levitt, Foliations and laminations on hyperbolic surfaces (Topology, Vol. 22, 1983, pp. 119-135). | MR | Zbl

[Mo] H. M. Morse, A one-to-one representation of geodesics on a surface of negative curvature (Amer. J. Math., Vol. 43, 1921, pp. 33-51). | JFM

[Pa] A. Papadopoulos, Geometric intersection functions and Hamiltonian flows on the space of measured foliations of a surface (Pacific J. Math., Vol. 124, 1986, pp. 375-402). | MR | Zbl

[PeH] R. C. Penner and J. L. Harer, Combinatorics of train tracks (Ann. Math. Studies, Vol. 125, Princeton Univ. Press, 1992). | MR | Zbl

[Pl] J. Plante, Foliations with measure preserving holonomy (Ann. Math., Vol. 127, 1975, pp. 327-362). | MR | Zbl

[Th1] W. P. Thurston, The topology and geometry of 3-manifolds, Lecture Notes, Princeton University, 1976-1979).

[Th2] W. P. Thurston, Earthquakes in two-dimensional hyperbolic geometry (Low-dimensional Topology and Kleinian groups, D. B. A. Epstein ed., 1986 Cambridge University press, pp. 91-112). | MR | Zbl

[Th3] W. P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces (Bull. Amer. Math. Soc., Vol. 19, 1988, pp. 417-431). | MR | Zbl

[Th4] W. P. Thurston, Minimal stretch maps between hyperbolic surfaces, unpublished preprint, ca 1986.

Cité par Sources :