@article{PMIHES_1982__55__37_0, author = {Zimmer, Robert J.}, title = {Ergodic theory, semisimple {Lie} groups and foliations by manifolds of negative curvature}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {37--62}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {55}, year = {1982}, mrnumber = {672181}, zbl = {0525.57022}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1982__55__37_0/} }
TY - JOUR AU - Zimmer, Robert J. TI - Ergodic theory, semisimple Lie groups and foliations by manifolds of negative curvature JO - Publications Mathématiques de l'IHÉS PY - 1982 SP - 37 EP - 62 VL - 55 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1982__55__37_0/ LA - en ID - PMIHES_1982__55__37_0 ER -
%0 Journal Article %A Zimmer, Robert J. %T Ergodic theory, semisimple Lie groups and foliations by manifolds of negative curvature %J Publications Mathématiques de l'IHÉS %D 1982 %P 37-62 %V 55 %I Institut des Hautes Études Scientifiques %U http://www.numdam.org/item/PMIHES_1982__55__37_0/ %G en %F PMIHES_1982__55__37_0
Zimmer, Robert J. Ergodic theory, semisimple Lie groups and foliations by manifolds of negative curvature. Publications Mathématiques de l'IHÉS, Tome 55 (1982), pp. 37-62. http://www.numdam.org/item/PMIHES_1982__55__37_0/
[1] Le spectre d'une variété Riemannienne, Lecture Notes in Math., No. 194, New York, Springer-Verlag, 1971. | MR | Zbl
, , ,[2] Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1969), 1-49. | MR | Zbl
and ,[3] Corners and arithmetic groups, Comm. Math. Helv., 48 (1973), 436-491. | MR | Zbl
and ,[4] Amenable equivalence relations are generated by a single transformation, preprint. | Zbl
, , ,[5] Visibility manifolds, Pacific J. Math., 46 (1973), 45-109. | MR | Zbl
, ,[6] Geodesic flows on negatively curved manifolds, I, Annals of Math., 95 (1972), 492-510. | MR | Zbl
,[7] Geodesic flows on negatively curved manifolds, II, Trans. Amer. Math. Soc., 178 (1973), 57-82. | MR | Zbl
,[8] Busemann functions are C2, unpublished.
,[9] Ergodic equivalence relations, cohomology, and von Neumann algebras, I, Trans. Amer. Math. Soc., 234 (1977), 289-324. | MR | Zbl
, ,[10] Orbit structure and countable sections for actions of continuous groups, Adv. in Math., 28 (1978), 186-230. | MR | Zbl
, , ,[11] A Poisson formula for semisimple Lie groups, Annals of Math., 77 (1963), 335-383. | MR | Zbl
,[12] Ergodic Theory, New York, Chelsea, 1956. | MR | Zbl
,[13] Geometry of horospheres, J. Diff. Geom., 12 (1977), 481-491. | MR | Zbl
, ,[14] Foliated bundles, invariant measures, and flat manifolds, Annals of Math., 101 (1975), 369-390. | MR | Zbl
, ,[15] Certain quotient spaces are countably separated, III, J. Funct. Anal., 22 (1976), 225-241. | MR | Zbl
,[16] Borel structures in groups and their duals, Trans. Amer. Math. Soc., 85 (1957), 134-165. | MR | Zbl
,[17] Point realizations of transformation groups, Ill. J. Math., 6 (1962), 327-335. | MR | Zbl
,[18] Ergodic theory and virtual groups, Math. Ann., 166 (1966), 187-207. | MR | Zbl
,[19] Discrete groups of motions of manifolds of non-positive curvature, Amer. Math. Soc. Translations, 109 (1977), 33-45. | Zbl
,[20] Factor groups of discrete subgroups, Soviet Math. Dokl., 19 (1978), 1145-1149. | Zbl
,[21] Quotient groups of discrete subgroups and measure theory, Funct. Anal. Appl., 12 (1978), 295-305. | MR | Zbl
,[22] Compactifications of symmetric spaces, Amer. J. Math., 86 (1964), 201-218. | MR | Zbl
,[23] Ergodicity of flows on homogeneous spaces, Amer. J. Math., 88 (1966), 154-178. | MR | Zbl
,[24] Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms, Publ. Math. I.H.E.S., 34 (1967), 53-104. | Numdam | MR | Zbl
,[25] Strong rigidity of locally symmetric spaces, Annals of Math. Studies, No. 78, Princeton University Press, 1973. | MR | Zbl
,[26] Ergodic Theory of amenable group actions, I, Bull. Amer. Math. Soc., 2 (1980), 161. | MR | Zbl
, ,[27] Virtual groups and group actions, Adv. in Math., 6 (1971), 253-322. | MR | Zbl
,[28] Currents, flows, and diffeomorphisms, Topology, 14 (1975), 319-327. | MR | Zbl
, ,[29] On representations and compactifications of symmetric Riemannian spaces, Annals of Math., 71 (1960), 77-110. | MR | Zbl
,[30] Foliations of polynomial growth are hyperfinite, Israel J. Math., 34 (1979), 245-258. | MR | Zbl
,[31] Amenable ergodic group actions and an application to Poisson boundaries of random walks, J. Funct. Anal., 27 (1978), 350-372. | MR | Zbl
,[32] Hyperfinite factors and amenable ergodic actions, Invent. Math., 41 (1977), 23-31. | MR | Zbl
,[33] Induced and amenable ergodic actions of Lie groups, Ann. Sci. Ec. Norm. Sup., 11 (1978), 407-428. | Numdam | MR | Zbl
,[34] Orbit spaces of unitary representations, ergodic theory, and simple Lie groups, Annals of Math., 106 (1977), 573-588. | MR | Zbl
,[35] Algebraic topology of ergodic Lie group actions and measurable foliations, preprint.
,[36] Strong rigidity for ergodic actions of semisimple Lie groups, Annals of Math., 112 (1980), 511-529. | MR | Zbl
,[37] Orbit equivalence and rigidity of ergodic actions of Lie groups, Ergodic Theory and Dynamical Systems, 1 (1981), 237-253. | MR | Zbl
,[38] On the Mostow rigidity theorem and measurable foliations by hyperbolic space, Israel J. Math., to appear. | Zbl
,[39] Curvature of leaves of amenable foliations, American J. Math., to appear. | Zbl
,[40] Some smooth ergodic systems, Russian Math. Surveys, 22 (1967), 103-67. | Zbl
, ,[41] Lattices in spaces of nonpositive curvature, Annals of Math., 111 (1980), 435-467. | MR | Zbl
,