메뉴 건너뛰기




Volumn 21, Issue 1, 2001, Pages 121-164

Rigidity of weakly hyperbolic actions of higher real rank semisimple Lie groups and their lattices

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035631399     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385701001109     Document Type: Article
Times cited : (36)

References (43)
  • 1
    • 0034392039 scopus 로고    scopus 로고
    • Rigidity of isometric lattice actions on compact riemannian manifolds
    • E. J. Benveniste. Rigidity of isometric lattice actions on compact riemannian manifolds. Geom. Fund. Anal. 10(3) (2000), 516-542.
    • (2000) Geom. Fund. Anal. , vol.10 , Issue.3 , pp. 516-542
    • Benveniste, E.J.1
  • 2
    • 0039210445 scopus 로고
    • Flows on homogeneous spaces: A new look
    • J. Brezin and C. C. Moore. Flows on homogeneous spaces: a new look. Amer. J. Math. 103 (1981), 571-613.
    • (1981) Amer. J. Math. , vol.103 , pp. 571-613
    • Brezin, J.1    Moore, C.C.2
  • 3
    • 0000254229 scopus 로고
    • Partially hyperbolic dynamical systems
    • M. I. Brin and Ya. B. Pesin. Partially hyperbolic dynamical systems. Math. USSR Izvestija 8(1) (1974), 177-218.
    • (1974) Math. USSR Izvestija , vol.8 , Issue.1 , pp. 177-218
    • Brin, M.I.1    Ya, B.2
  • 4
    • 0032504859 scopus 로고    scopus 로고
    • Topological superrigidity and Anosov actions of lattices
    • R. Feres and F. Labourie. Topological superrigidity and Anosov actions of lattices. Ann. Sci. École Norm. Sup. 31(5) (1998), 599-629.
    • (1998) Ann. Sci. École Norm. Sup. , vol.31 , Issue.5 , pp. 599-629
    • Feres, R.1    Labourie, F.2
  • 6
    • 0033235954 scopus 로고
    • Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices
    • E. Goetze and R. J. Spatzier. Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices. Ann. Math. 150(3) (1990), 743-773.
    • (1990) Ann. Math. , vol.150 , Issue.3 , pp. 743-773
    • Goetze, E.1    Spatzier, R.J.2
  • 7
    • 0032324695 scopus 로고    scopus 로고
    • Normal forms and invariant geometric structures on transverse contracting foliations
    • M. Guysinsky and A. Katok. Normal forms and invariant geometric structures on transverse contracting foliations. Math. Res. Lett. 5(1-2) (1998), 149-163.
    • (1998) Math. Res. Lett. , vol.5 , Issue.1-2 , pp. 149-163
    • Guysinsky, M.1    Katok, A.2
  • 9
    • 0000375150 scopus 로고
    • Rigidity for Anosov actions of higher rank lattices
    • S. Hurder. Rigidity for Anosov actions of higher rank lattices. Ann. Math. 135 (1992), 361-410.
    • (1992) Ann. Math. , vol.135 , pp. 361-410
    • Hurder, S.1
  • 10
    • 0000603159 scopus 로고
    • Affine Anosov actions
    • S. Hurder. Affine Anosov actions. Michigan Math. J. 40 (1993), 561-575.
    • (1993) Michigan Math. J. , vol.40 , pp. 561-575
    • Hurder, S.1
  • 11
    • 51249171985 scopus 로고
    • Local rigidity for certain groups of toral automorphisms
    • A. Katok and J. Lewis. Local rigidity for certain groups of toral automorphisms. Israel J. Math. 75 (1991), 203-241.
    • (1991) Israel J. Math. , vol.75 , pp. 203-241
    • Katok, A.1    Lewis, J.2
  • 12
    • 0030445427 scopus 로고    scopus 로고
    • Global rigidity for lattice actions on tori and new examples of volume preserving actions
    • A. Katok and J. Lewis. Global rigidity for lattice actions on tori and new examples of volume preserving actions. Israel J. Math. 93 (1996), 253-281.
    • (1996) Israel J. Math. , vol.93 , pp. 253-281
    • Katok, A.1    Lewis, J.2
  • 13
    • 0029688747 scopus 로고    scopus 로고
    • Cocycle superrigidity and Rigidity for lattice actions on tori
    • A. Katok, J. Lewis and R. Zimmer. Cocycle superrigidity and Rigidity for lattice actions on tori. Topology 35(1) (1996), 27-38.
    • (1996) Topology , vol.35 , Issue.1 , pp. 27-38
    • Katok, A.1    Lewis, J.2    Zimmer, R.3
  • 14
    • 0000983709 scopus 로고    scopus 로고
    • Differential rigidity of Anosov actions of higher rank abelian groups and algebraic lattice actions
    • Din. Sist. i Smezhnye Vopr.
    • A. Katok and R. Spatzier. Differential rigidity of Anosov actions of higher rank abelian groups and algebraic lattice actions. Tr. Mat. Inst. Steklova 216 (1997), Din. Sist. i Smezhnye Vopr., 292-319.
    • (1997) Tr. Mat. Inst. Steklova , vol.216 , pp. 292-319
    • Katok, A.1    Spatzier, R.2
  • 15
    • 0000529772 scopus 로고
    • Subelliptic estimates of polynomial differential operators and applications to rigidity of Abelian actions
    • A. Katok and R. Spatzier. Subelliptic estimates of polynomial differential operators and applications to rigidity of Abelian actions. Math. Res. Lett. 1 (1994), 193-202.
    • (1994) Math. Res. Lett. , vol.1 , pp. 193-202
    • Katok, A.1    Spatzier, R.2
  • 16
    • 0038244608 scopus 로고    scopus 로고
    • Large group actions on manifolds
    • F. Labourie. Large group actions on manifolds. Proc. ICM 2 (1998), 371-380.
    • (1998) Proc. ICM , vol.2 , pp. 371-380
    • Labourie, F.1
  • 18
    • 0000461105 scopus 로고
    • There are no new Anosov diffeomorphisms on tori
    • A. Manning. There are no new Anosov diffeomorphisms on tori. Amer. J. Math. 96(3) (1974), 422-429.
    • (1974) Amer. J. Math. , vol.96 , Issue.3 , pp. 422-429
    • Manning, A.1
  • 19
    • 0003178928 scopus 로고
    • Discrete groups of motions of manifolds of non-positive curvature
    • American Mathematical Society
    • G. A. Margulis. Discrete groups of motions of manifolds of non-positive curvature. Proc. Int. Congress, Vancouver, 1974 (AMS Transl., 109). American Mathematical Society, 1977, pp. 33-45.
    • (1977) Proc. Int. Congress, Vancouver, 1974 AMS Transl. , vol.109 , pp. 33-45
    • Margulis, G.A.1
  • 23
    • 0011006992 scopus 로고
    • Ergodicity of flows on homogeneous spaces
    • C. C. Moore. Ergodicity of flows on homogeneous spaces. Amer. J. Math. 88 (1966), 154-178.
    • (1966) Amer. J. Math. , vol.88 , pp. 154-178
    • Moore, C.C.1
  • 25
    • 0000940743 scopus 로고
    • On the existence of invariant fiberings for a diffeomorphism of a smooth manifold
    • Ya. B. Pesin. On the existence of invariant fiberings for a diffeomorphism of a smooth manifold. Math. USSR Sbornik 20(2) (1973), 213-222.
    • (1973) Math. USSR Sbornik , vol.20 , Issue.2 , pp. 213-222
    • Pesin, Y.B.1
  • 26
    • 0001331789 scopus 로고
    • Cartan subgroups and lattices in semisimple groups
    • G. Prasad and M. S. Raghunathan. Cartan subgroups and lattices in semisimple groups. Ann. Math. 96 (1972), 296-317
    • (1972) Ann. Math. , vol.96 , pp. 296-317
    • Prasad, G.1    Raghunathan, M.S.2
  • 27
    • 0000870911 scopus 로고
    • Topological deformation rigidity of actions of higher rank lattices
    • N. Qian. Topological deformation rigidity of actions of higher rank lattices. Math. Res. Lett. 1 (1994), 485-499.
    • (1994) Math. Res. Lett. , vol.1 , pp. 485-499
    • Qian, N.1
  • 28
    • 21444452319 scopus 로고    scopus 로고
    • Tangential flatness and global rigidity of higher rank lattice actions
    • N. Qian. Tangential flatness and global rigidity of higher rank lattice actions. Trans. Amer. Math. Soc. 349(2) (1997), 657-673.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , Issue.2 , pp. 657-673
    • Qian, N.1
  • 30
    • 0009376070 scopus 로고    scopus 로고
    • Infinitesimal rigidity of higher rank lattice actions
    • N. Qian. Infinitesimal rigidity of higher rank lattice actions. Comm. Anal. Geom. 4(3) (1996), 495-524.
    • (1996) Comm. Anal. Geom. , vol.4 , Issue.3 , pp. 495-524
    • Qian, N.1
  • 31
    • 0032383896 scopus 로고    scopus 로고
    • Local rigidity of Anosov higher rank lattice actions
    • N. Qian and C.-B. Yue. Local rigidity of Anosov higher rank lattice actions. Ergod. Th. & Dynam. Sys. 18(3) (1998), 687-702.
    • (1998) Ergod. Th. & Dynam. Sys. , vol.18 , Issue.3 , pp. 687-702
    • Qian, N.1    Yue, C.-B.2
  • 32
    • 0039193118 scopus 로고    scopus 로고
    • Local rigidity of discrete group actions on compact quotients of SL(n, ℝ)
    • to appear
    • N. Qian and C.-B. Yue. Local rigidity of discrete group actions on compact quotients of SL(n, ℝ). Math. Res. Lett., to appear.
    • Math. Res. Lett.
    • Qian, N.1    Yue, C.-B.2
  • 33
    • 0040250345 scopus 로고    scopus 로고
    • Entropy rigidity for semisimple group actions
    • N. Qian and R. J. Zimmer. Entropy rigidity for semisimple group actions. Israel J. Math. 99 (1997), 55-67.
    • (1997) Israel J. Math. , vol.99 , pp. 55-67
    • Qian, N.1    Zimmer, R.J.2
  • 35
    • 0039023560 scopus 로고
    • Rigidity of ergodic volume-preserving actions of semisimple groups of higher rank on compact manifolds
    • G. Seydoux. Rigidity of ergodic volume-preserving actions of semisimple groups of higher rank on compact manifolds. Trans. Amer. Math. Soc. 345(2) (1994), 753-776.
    • (1994) Trans. Amer. Math. Soc. , vol.345 , Issue.2 , pp. 753-776
    • Seydoux, G.1
  • 36
    • 84966208840 scopus 로고
    • The stationary set of a group action
    • D. Stowe. The stationary set of a group action. Proc. Amer. Math. Soc. 79 (1980), 139-146.
    • (1980) Proc. Amer. Math. Soc. , vol.79 , pp. 139-146
    • Stowe, D.1
  • 38
    • 0000522511 scopus 로고
    • Remarks on the cohomology of groups
    • A. Weil. Remarks on the cohomology of groups. Ann. Math. 80 (1964), 149-157.
    • (1964) Ann. Math. , vol.80 , pp. 149-157
    • Weil, A.1
  • 39
    • 0001551945 scopus 로고
    • Strong rigidity for ergodic actions of semisimple Lie groups
    • R. J. Zimmer. Strong rigidity for ergodic actions of semisimple Lie groups. Ann. Math. 112(3) (1980), 511-529.
    • (1980) Ann. Math. , vol.112 , Issue.3 , pp. 511-529
    • Zimmer, R.J.1
  • 40
    • 0039084469 scopus 로고
    • Orbit equivalence and rigidity of ergodic actions of Lie groups
    • R. J. Zimmer. Orbit equivalence and rigidity of ergodic actions of Lie groups. Ergod. Th. & Dynam. Sys. 1 (1981), 237-253.
    • (1981) Ergod. Th. & Dynam. Sys. , vol.1 , pp. 237-253
    • Zimmer, R.J.1
  • 42
    • 0001886458 scopus 로고
    • Actions of semisimple groups and discrete subgroups
    • Berkeley, CA
    • R. J. Zimmer. Actions of semisimple groups and discrete subgroups. Proc. Int. Congress of Mathematicians (Berkeley, CA, 1986), pp. 1247-1258.
    • (1986) Proc. Int. Congress of Mathematicians , pp. 1247-1258
    • Zimmer, R.J.1
  • 43
    • 51249170725 scopus 로고
    • On the algebraic hull of an automorphism group of a principal bundle
    • R. J. Zimmer. On the algebraic hull of an automorphism group of a principal bundle. Comment. Math. Helvetici 65 (1990), 375-387.
    • (1990) Comment. Math. Helvetici , vol.65 , pp. 375-387
    • Zimmer, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.