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Volumn 9, Issue 1, 2003, Pages 193-208

Rigidity of partially hyperbolic actions of property (T) groups

Author keywords

Ergodicity; Higher rank lattices; Invariant foliations; Invariant volume; Kazdahn's property (T); Local rigidity; Partially hyperbolic actions

Indexed keywords


EID: 0037254423     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2003.9.193     Document Type: Article
Times cited : (6)

References (19)
  • 3
    • 0003229265 scopus 로고
    • La propriété (T) de Kazhdan pour les groupes localement compacts
    • P. de la Harpe, A. Valette, La propriété (T) de Kazhdan pour les groupes localement compacts, Astérisque, 175 (1989).
    • (1989) Astérisque , vol.175
    • De la Harpe, P.1    Valette, A.2
  • 5
    • 0001573113 scopus 로고
    • A regularity lemma for functions of several variables
    • J.-L. Journé, A regularity lemma for functions of several variables, Revista Matematica Iberoamericana, 4 no. 2, (1988), 187-193.
    • (1988) Revista Matematica Iberoamericana , vol.4 , Issue.2 , pp. 187-193
    • Journé, J.-L.1
  • 6
    • 0000983709 scopus 로고    scopus 로고
    • Differential rigidity of Anosov actions of higher rank abelian groups and algebraic lattice actions
    • A. Katok, R. Spatzier, Differential rigidity of Anosov actions of higher rank abelian groups and algebraic lattice actions, Proc. of Steklov Inst. Math., 216 (1997), 292-319.
    • (1997) Proc. of Steklov Inst. Math. , vol.216 , pp. 292-319
    • Katok, A.1    Spatzier, R.2
  • 7
    • 0039772091 scopus 로고    scopus 로고
    • Nonabelian cohomology of abelian Anosov actions
    • A. Katok, V. Nrţicǎ, A. Török, Nonabelian cohomology of abelian Anosov actions, Erg. Th. & Dyn. Syst., 20 (2000), 259-288.
    • (2000) Erg. Th. & Dyn. Syst. , vol.20 , pp. 259-288
    • Katok, A.1    Nrţicǎ, V.2    Török, A.3
  • 8
    • 0035631399 scopus 로고    scopus 로고
    • Local rigidity of weakly hyperbolic actions of higher real rank semisimple Lie groups and their lattices
    • G.A. Margulis, N. Qian, Local rigidity of weakly hyperbolic actions of higher real rank semisimple Lie groups and their lattices, Erg. Th. & Dyn. Syst., 21 (2001,), 121-164.
    • (2001) Erg. Th. & Dyn. Syst. , vol.21 , pp. 121-164
    • Margulis, G.A.1    Qian, N.2
  • 9
    • 0002900243 scopus 로고
    • A theorem on periodic transformations of spaces
    • M. H. A. Newman, A theorem on periodic transformations of spaces, Quart. J. Math. Oxford Ser., 2 (1931), 1-9.
    • (1931) Quart. J. Math. Oxford Ser. , vol.2 , pp. 1-9
    • Newman, M.H.A.1
  • 10
    • 0000326426 scopus 로고
    • Cohomology of dynamical systems and rigidity of partially hyperbolic actions of higher-rank lattices
    • V. Nrţicǎ A. Török, Cohomology of dynamical systems and rigidity of partially hyperbolic actions of higher-rank lattices, Duke Math. J., 79 no. 3, (1995), 751-810.
    • (1995) Duke Math. J. , vol.79 , Issue.3 , pp. 751-810
    • Nrţicǎ, V.1    Török, A.2
  • 11
    • 0035617856 scopus 로고    scopus 로고
    • Local rigidity of certain partially hyperbolic actions of product type
    • V. Nrţicǎ, A. Török, Local rigidity of certain partially hyperbolic actions of product type, Erg. Th. & Dyn. Syst., 21 (2001), 1213-1237.
    • (2001) Erg. Th. & Dyn. Syst. , vol.21 , pp. 1213-1237
    • Nrţicǎ, V.1    Török, A.2
  • 12
    • 18044404329 scopus 로고    scopus 로고
    • An open dense set of stably ergodic diffeomorphisms in a neighborhood of a non-ergodic one
    • V. Nrţicǎ, A. Török, An open dense set of stably ergodic diffeomorphisms in a neighborhood of a non-ergodic one, Topology, 40 no. 2, (2001), 259-278.
    • (2001) Topology , vol.40 , Issue.2 , pp. 259-278
    • Nrţicǎ, V.1    Török, A.2
  • 13
    • 0000940743 scopus 로고
    • On the existence of invariant fibering for the diffeomorphisms of a smooth manifold
    • Ya. B. Pesin, On the existence of invariant fibering for the diffeomorphisms of a smooth manifold, Math. USSR Sbornik, 20 no. 2, (1973), 213-222.
    • (1973) Math. USSR Sbornik , vol.20 , Issue.2 , pp. 213-222
    • Pesin, Ya.B.1
  • 14
    • 0031094519 scopus 로고    scopus 로고
    • Stably ergodic dynamical systems and partial hyperbolicity
    • C. Pugh, M. Shub, Stably ergodic dynamical systems and partial hyperbolicity, J. Complexity, 13 (1997), 125-179.
    • (1997) J. Complexity , vol.13 , pp. 125-179
    • Pugh, C.1    Shub, M.2
  • 15
    • 0001856458 scopus 로고    scopus 로고
    • Stable ergodicity and Julienne quasi-conformality
    • C. Pugh, M. Shub, Stable ergodicity and Julienne quasi-conformality, J. Eur. Math. Soc., 2 (2000), no. 1, 1-52.
    • (2000) J. Eur. Math. Soc. , vol.2 , Issue.1 , pp. 1-52
    • Pugh, C.1    Shub, M.2
  • 17
    • 0012952199 scopus 로고
    • Transformations of finite period, III. Newman's theorem
    • P. A. Smith, Transformations of finite period, III. Newman's theorem, Annals of Math., 42 (1941), 446-458.
    • (1941) Annals of Math. , vol.42 , pp. 446-458
    • Smith, P.A.1
  • 18
    • 0000492989 scopus 로고
    • Stable orbits of differentiate group actions
    • D. Stowe, Stable orbits of differentiate group actions, Trans. A.M.S., 277 (1983), 665-684.
    • (1983) Trans. A.M.S. , vol.277 , pp. 665-684
    • Stowe, D.1
  • 19
    • 0033130611 scopus 로고    scopus 로고
    • Some remarks on analytic actions of lattices of Lie groups of higher rank (French)
    • A. Zeghib, Some remarks on analytic actions of lattices of Lie groups of higher rank (French), C. R. Acad. Sci. Paris Sér. I Math., 328 (1999), no. 9, 799-804.
    • (1999) C. R. Acad. Sci. Paris Sér. I Math. , vol.328 , Issue.9 , pp. 799-804
    • Zeghib, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.