@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}, volume = {86}, year = {1997}, pages = {115-197}, mrnumber = {98m:53068}, zbl = {0910.53035}, language = {en}, url = {http://dml.mathdoc.fr/item/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://gdmltest.u-ga.fr/item/PMIHES_1997__86__115_0/
[ABN] Generalized Riemannian Spaces, Russ. Math. Surveys 41, no. 3 (1986), 1-54. | MR 88e:53103 | Zbl 0625.53059
, , ,[AS] Existence of flats in manifolds of nonpositive curvature, Invent. Math. 85 (1986), no. 2, 303-315. | MR 87h:53049 | Zbl 0615.53030
and ,[Ba] Lectures on spaces of nonpositive curvature, preprint 1995. | MR 97a:53053 | Zbl 0834.53003
,[BGS] Manifolds of nonpositive curvature, Birkhäuser, 1985. | MR 87h:53050 | Zbl 0591.53001
, , ,[Brbk] Groupes et Algèbres de Lie, ch. 4-6, Paris, Masson, 1981. | Zbl 0483.22001
,[Brn1] Buildings, Springer, 1989. | MR 90e:20001 | Zbl 0715.20017
,[Brn2] Five lectures on Buildings, p. 254-295, in Group theory from a geometric viewpoint, Trieste, 1990. | MR 94b:51017 | Zbl 0846.20032
,[BT] Groupes réductifs sur un corps local, Publ. Math. IHES 60 (1984), 5-184. | Numdam | MR 86c:20042 | Zbl 0597.14041
and ,[ChE] Comparison theorems in Riemannian geometry, North Holland, 1975. | MR 56 #16538 | Zbl 0309.53035
and ,[DW] On Gromov's Theorem concerning groups of polynomial growth and elementary logic, J. of Algebra 89 (1984), 349-374. | MR 85k:20101 | Zbl 0552.20017
, ,[Eb] Structure of manifolds of nonpositive curvature, in Springer LNM, vol. 1156 (1985), 86-153. | MR 87d:53080 | Zbl 0569.53020
,[Gro] Asymptotic invariants for infinite groups, in Geometric group theory, London Math. Soc. Lecture Notes Series 182 (1993), vol. 2. | MR 95m:20041 | Zbl 0841.20039
,[GrPa] Rigidity of lattices : An introduction, in Geometric Topology : Recent developments, Springer LNM 1504 (1991), 39-137. | MR 93f:53036 | Zbl 0786.22015
and ,[GrBe] Finite reflection groups, Springer GTM 99, sec. ed., 1985. | MR 85m:20001 | Zbl 0579.20045
and ,[Hum] Reflection groups and Coxeter groups, Cambridge studies in advanced mathematics 29, Cambridge Univ. Press, 1990. | MR 92h:20002 | Zbl 0725.20028
,[KKL] Quasi-isometries preserve the de Rham decomposition, to appear in Topology. | Zbl 0954.53027
, and ,[KaLe] Asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds, GAFA, vol. 5, no. 3 (1995), 582-603. | MR 96e:57006 | Zbl 0829.57006
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 98f:53046 | Zbl 0882.53037
and ,[KlLe3] Groups quasi-isometric to symmetric spaces, Preprint, October 1996. | Zbl 01652733
and ,[Le] A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry, Habilitationsschrift, Universität Bonn, Juni 1997. | Zbl 01620191
,[Mos] Strong rigidity of locally symmetric spaces, Ann. of Math. Studies, vol. 78, 1973. | MR 52 #5874 | Zbl 0265.53039
,[Nik] The tangent cone of an Aleksandrov space of curvature ≤ K, to appear in Manuscripta Mathematica. | Zbl 0822.53043
,[Pan] Métriques de Carnot-Carathéodory et quasi-isométries des espaces symétriques de rang un, Ann. of Math. 129 (1989), 1-60. | MR 90e:53058 | Zbl 0678.53042
,[Ron] Lectures on Buildings, Perspectives in Mathematics, vol. 7, Academic Press, 1989. | MR 90j:20001 | Zbl 0694.51001
,[Sch] Quasi-Isometric Rigidity and Diophantine Approximation, Acta Mathematica 177 (1996), 75-112. | MR 97m:53093 | Zbl 1029.11038
,[Ti1] Buildings of spherical type and finite BN-pairs, Springer LNM, vol. 386 (1974). | MR 57 #9866 | Zbl 0295.20047
,[Ti2] Immeubles de type affine, in Buildings and the geometry of diagrams, Proceedings Como, 1984, Springer LNM, vol. 1181 (1986), 159-190. | MR 87h:20077 | Zbl 0611.20026
,[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 86f:30024 | Zbl 0562.30018
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