@article{AFST_2005_6_14_3_459_0, author = {Kapovich, Michael}, title = {Flats in $3$-manifolds}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {459--499}, publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 14}, number = {3}, year = {2005}, mrnumber = {2172587}, zbl = {1085.57003}, language = {en}, url = {http://archive.numdam.org/item/AFST_2005_6_14_3_459_0/} }
TY - JOUR AU - Kapovich, Michael TI - Flats in $3$-manifolds JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2005 SP - 459 EP - 499 VL - 14 IS - 3 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://archive.numdam.org/item/AFST_2005_6_14_3_459_0/ LA - en ID - AFST_2005_6_14_3_459_0 ER -
%0 Journal Article %A Kapovich, Michael %T Flats in $3$-manifolds %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2005 %P 459-499 %V 14 %N 3 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U http://archive.numdam.org/item/AFST_2005_6_14_3_459_0/ %G en %F AFST_2005_6_14_3_459_0
Kapovich, Michael. Flats in $3$-manifolds. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 14 (2005) no. 3, pp. 459-499. http://archive.numdam.org/item/AFST_2005_6_14_3_459_0/
[Ba] Finitely generated subgroups of GL2 , In: "Smith Conjecture" , Acad. Press, p. 127-136 (1984). | MR | Zbl
-[BF] Stable actions of groups on real trees, Inv. Math., 121, F. 2, p. 287-322 (1995). | MR | Zbl
, -[BM] The boundary of negatively curved groups, Journal of AMS, 4, N 3, p. 469-481 (1991). | MR | Zbl
, -[BK1] Rigidity for quasi-Möbius group actions, J. Differential Geom. vol. 61, no. 1, p. 81-106 (2002). | Zbl
, -[BK2] Quasisymmetric parametrizations of two-dimensional metric spheres, Invent. Math. 150, no. 1, p. 127-183 (2002). | MR | Zbl
, -[BH] Metric spaces of non-positive curvature", Grundlehren der Mathematischen Wissenschaften , Vol. 319, Springer-Verlag (1999). | MR | Zbl
, - "[B] Euclidean planes in 3-dimensional manifolds of nonpositive curvature, Mat. Zametki, 43, p. 103-114 (1988). | MR | Zbl
-[CJ] Convergence groups and Seifert fibered 3-manifolds, Inventiones Math., 118, F. 3, p. 441-456 (1994). | MR | Zbl
, -[Ca] The combinatorial Riemann mapping theorem, Acta Mathematica, 173, p. 155-234 (1994). | MR | Zbl
-[CS] Recognizing constant curvature discrete groups in dimension 3, Trans. Amer. Math. Soc., 350, p. 809-849 (1998). | MR | Zbl
, -[E] Geodesic flow on certain manifolds without conjugate points, Transaction of AMS, 167, p. 151-170 (1972). | MR | Zbl
-[Ga1] Convergence groups are Fuchsian groups , Annals of Mathematics, 136, p. 447-510 (1992). | MR | Zbl
-[Ga2] Quasi-minimal semi-Euclidean laminations in 3-manifolds , In: "Surveys in differential geometry" , Vol. III (Cambridge, MA, 1996), Int. Press, Boston, MA , p. 195-242 (1988). | MR | Zbl
-[Ga3] A geometric and topological rigidity of hyperbolic 3-manifolds, Journ. of AMS, 10, p 37-74 (1997). | MR | Zbl
-[Gh] Infinite groups as geometric objects (after Gromov), In: "Ergodic Theory, Dynamics and Hyperbolic Groups", Oxford Sci. Publ., p. 299-314 (1991). | MR | Zbl
, -[Gri] Growth degrees of p-groups and torsion-free groups, Math. USSR, Sb., 54, p. 185-205 (1985). | Zbl
-[Gro1] Groups of polynomial growth and expanding maps, Publ. of IHES, 53, p. 53-73 (1981). | Numdam | MR | Zbl
-[Gro2] Hyperbolic groups, In: "Essays in Group Theory", Publications of MSRI, Vol. 8, p. 75-264 (1987). | MR | Zbl
-[Gro3] Asymptotic invariants of infinite groups, in "Geometric Group Theory", Vol. 2; London Math. Society Lecture Notes, 182, Cambridge Univ. Press (1993). | MR | Zbl
-[He1] 3-manifolds", Annals of Math. Studies, Vol. 86, Princeton Univ. Press, (1976). | MR | Zbl
- "[He2] Residual finiteness for 3-manifolds . In: Annals of Math. Studies, Vol. 111, Princeton Univ. Press, p. 373-396 (1987). | MR | Zbl
-[I] On the theorem of Denjoy-Sacksteder for codimension one foliations without holonomy, J. Math. Kyoto Univ., 14, p. 607-634 (1974). | MR | Zbl
-[K] Hyperbolic Manifolds and Discrete Groups", Birkhäuser (2001). | MR | Zbl
- "[KK1] Geometry of quasi-planes , Preprint (2004).
, -[KK2] Weak hyperbolization conjecture for 3-dimensional CAT(0) groups, Preprint (2004).
, -[KL] Quasi-isometries preserve the geometric decomposition of Haken manifolds, Inventiones Math , vol. 128, p. 393-416 (1997). | MR | Zbl
, ,[KI] Private communication.
-[L] Immersions and embeddings of totally geodesic surfaces , Bull. London Math. Soc., 19, p. 481-484 (1987). | MR | Zbl
-[Mc] Iterations on Teichmüller space, Inventiones Math., 99, N 2, p. 425-454 (1989). | Zbl
-[M1] The Seifert conjecture and groups which are coarse quasi- isometric to planes, Preprint (1990).
-[M2] Private communication.
-[Mor] On Thurston's Uniformization Theorem for Three-Dimensional Manifolds, In: "Smith Conjecture", Acad. Press, p. 37-136 (1984). | MR | Zbl
-[MS1] Degenerations of hyperbolic structures, III: Actions of 3-manifold groups on trees and Thurston's compactness theorem, Ann. of Math., 127, p. 457-519 (1988). | MR | Zbl
, -[MS2] Free actions of surface groups on R-trees, Topology, vol. 30, no. 2, p. 143-154 (1991). | MR | Zbl
, -[MO] Spaces which are not negatively curved, Communications in Geometric Analysis, Communications in Analysis and Geometry, vol. 6, p. 67-140 (1998). | MR | Zbl
, -[O] Le théorème d'hyperbolisation pour les varietes fibrees de dimension trois, Astérisque, vol. 235 (1996). | Zbl
-[P1] Foliations with measure preserving holonomy , Annals of Math., 102 N 2, p. 327-361 (1975). | MR | Zbl
-[P2] Solvable groups acting on the real line, Transactions of AMS, 278, N 1 (1983). | MR | Zbl
,[R] Group actions on R-trees, in preparation.
-[Sc] Codimension one tori in manifolds of nonpositive curvature, Geom. Dedicata, 33, p. 251-265 (1990). | MR | Zbl
-[Sch] The quasi-isometry classification of hyperbolic lattices, Math. Publ. of IHES, Vol. 82, p. 133-168 (1995). | Numdam | MR | Zbl
-[Sco] A new proof of the annulus and torus theorems , Amer. Journal of Math., 102, p. 241-277 (1980). | MR | Zbl
-[T] Hyperbolic structures on 3-manifolds, I, Annals of Math., 124, p. 203-246 (1986). | MR | Zbl
-[Tu] Homeomorphic conjugates of fuchsian groups, J. Reine Angew. Math. 391, p. 1-54 (1988). | MR | Zbl
-[VW] On Gromov's theorem concerning groups of polynomial growth and elementary logic, Journ. of Algebra, Vol. 89, p. 349-374 (1984). | MR | Zbl
, -