@article{PMIHES_1997__86__115_0, author = {Kleiner, Bruce and Leeb, Bernhard}, title = {Rigidity of quasi-isometries for symmetric spaces and {Euclidean} buildings}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {115--197}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {86}, year = {1997}, mrnumber = {98m:53068}, zbl = {0910.53035}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1997__86__115_0/} }
TY - JOUR AU - Kleiner, Bruce AU - Leeb, Bernhard TI - Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings JO - Publications Mathématiques de l'IHÉS PY - 1997 SP - 115 EP - 197 VL - 86 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1997__86__115_0/ LA - en ID - PMIHES_1997__86__115_0 ER -
%0 Journal Article %A Kleiner, Bruce %A Leeb, Bernhard %T Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings %J Publications Mathématiques de l'IHÉS %D 1997 %P 115-197 %V 86 %I Institut des Hautes Études Scientifiques %U http://archive.numdam.org/item/PMIHES_1997__86__115_0/ %G en %F PMIHES_1997__86__115_0
Kleiner, Bruce; Leeb, Bernhard. Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings. Publications Mathématiques de l'IHÉS, Tome 86 (1997), pp. 115-197. http://archive.numdam.org/item/PMIHES_1997__86__115_0/
[ABN] Generalized Riemannian Spaces, Russ. Math. Surveys 41, no. 3 (1986), 1-54. | MR | Zbl
, , ,[AS] Existence of flats in manifolds of nonpositive curvature, Invent. Math. 85 (1986), no. 2, 303-315. | MR | Zbl
and ,[Ba] Lectures on spaces of nonpositive curvature, preprint 1995. | MR | Zbl
,[BGS] Manifolds of nonpositive curvature, Birkhäuser, 1985. | MR | Zbl
, , ,[Brbk] Groupes et Algèbres de Lie, ch. 4-6, Paris, Masson, 1981. | Zbl
,[Brn1] Buildings, Springer, 1989. | MR | Zbl
,[Brn2] Five lectures on Buildings, p. 254-295, in Group theory from a geometric viewpoint, Trieste, 1990. | MR | Zbl
,[BT] Groupes réductifs sur un corps local, Publ. Math. IHES 60 (1984), 5-184. | Numdam | MR | Zbl
and ,[ChE] Comparison theorems in Riemannian geometry, North Holland, 1975. | MR | Zbl
and ,[DW] On Gromov's Theorem concerning groups of polynomial growth and elementary logic, J. of Algebra 89 (1984), 349-374. | MR | Zbl
, ,[Eb] Structure of manifolds of nonpositive curvature, in Springer LNM, vol. 1156 (1985), 86-153. | MR | Zbl
,[Gro] Asymptotic invariants for infinite groups, in Geometric group theory, London Math. Soc. Lecture Notes Series 182 (1993), vol. 2. | MR | Zbl
,[GrPa] Rigidity of lattices : An introduction, in Geometric Topology : Recent developments, Springer LNM 1504 (1991), 39-137. | MR | Zbl
and ,[GrBe] Finite reflection groups, Springer GTM 99, sec. ed., 1985. | MR | Zbl
and ,[Hum] Reflection groups and Coxeter groups, Cambridge studies in advanced mathematics 29, Cambridge Univ. Press, 1990. | MR | Zbl
,[KKL] Quasi-isometries preserve the de Rham decomposition, to appear in Topology. | Zbl
, and ,[KaLe] Asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds, GAFA, vol. 5, no. 3 (1995), 582-603. | MR | Zbl
and ,[KlLe1] Rigidity of quasi-isometries for symmetric spaces of higher rank, Preprint, January 1995.
and ,[KlLe2] Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, C. R. Acad. Sci. Paris, Série I, 324 (1997), 639-643. | MR | Zbl
and ,[KlLe3] Groups quasi-isometric to symmetric spaces, Preprint, October 1996. | Zbl
and ,[Le] A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry, Habilitationsschrift, Universität Bonn, Juni 1997. | Zbl
,[Mos] Strong rigidity of locally symmetric spaces, Ann. of Math. Studies, vol. 78, 1973. | MR | Zbl
,[Nik] The tangent cone of an Aleksandrov space of curvature ≤ K, to appear in Manuscripta Mathematica. | Zbl
,[Pan] Métriques de Carnot-Carathéodory et quasi-isométries des espaces symétriques de rang un, Ann. of Math. 129 (1989), 1-60. | MR | Zbl
,[Ron] Lectures on Buildings, Perspectives in Mathematics, vol. 7, Academic Press, 1989. | MR | Zbl
,[Sch] Quasi-Isometric Rigidity and Diophantine Approximation, Acta Mathematica 177 (1996), 75-112. | MR | Zbl
,[Ti1] Buildings of spherical type and finite BN-pairs, Springer LNM, vol. 386 (1974). | MR | Zbl
,[Ti2] Immeubles de type affine, in Buildings and the geometry of diagrams, Proceedings Como, 1984, Springer LNM, vol. 1181 (1986), 159-190. | MR | Zbl
,[Thu] The geometry and topology of 3-manifolds, Lecture notes, Princeton University, 1979.
,[Tuk] Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group, Acta. Math. 154 (1985), 153-193. | MR | Zbl
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