메뉴 건너뛰기




Volumn 10, Issue 2, 2000, Pages 327-388

Quasi-isometric classification of non-uniform lattices in semisimple groups of higher rank

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034415966     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000390050011     Document Type: Article
Times cited : (15)

References (29)
  • 5
    • 48549108260 scopus 로고
    • On Gromov's theorem concerning groups of polynomial growth and elementary logic
    • L. VAN DEN DRIES, A.J. WILKIE, On Gromov's theorem concerning groups of polynomial growth and elementary logic, J. of Algebra 89 (1984), 349-374.
    • (1984) J. of Algebra , vol.89 , pp. 349-374
    • Van Den Dries, L.1    Wilkie, A.J.2
  • 6
    • 0031285547 scopus 로고    scopus 로고
    • Nondistorsion des horosphères dans des immeubles euclidiens et dans des espaces symétriques
    • C. DRUŢU, Nondistorsion des horosphères dans des immeubles euclidiens et dans des espaces symétriques, GAFA 7 (1997), 712-754.
    • (1997) GAFA , vol.7 , pp. 712-754
    • Druţu, C.1
  • 7
    • 0032386558 scopus 로고    scopus 로고
    • Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces
    • A. ESKIN, Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces, J. Amer. Math. Soc. 11:2 (1998), 321-361.
    • (1998) J. Amer. Math. Soc. , vol.11 , Issue.2 , pp. 321-361
    • Eskin, A.1
  • 8
    • 0031486926 scopus 로고    scopus 로고
    • Quasi-flats and rigidity in higher rank symmetric spaces
    • A. ESKIN, B. FARB, Quasi-flats and rigidity in higher rank symmetric spaces, J. Amer. Math. Soc. 10:3 (1997), 653-692.
    • (1997) J. Amer. Math. Soc. , vol.10 , Issue.3 , pp. 653-692
    • Eskin, A.1    Farb, B.2
  • 9
    • 0030266298 scopus 로고    scopus 로고
    • The large scale geometry of Hilbert modular groups
    • B. FARB, R.E. SCHWARTZ, The large scale geometry of Hilbert modular groups, J. Diff. Geom. 44 (1996), 435-478.
    • (1996) J. Diff. Geom. , vol.44 , pp. 435-478
    • Farb, B.1    Schwartz, R.E.2
  • 10
    • 51649160427 scopus 로고
    • Groups of polynomial growth and expanding maps
    • M. GROMOV, Groups of polynomial growth and expanding maps, Publ. Math. IHES 53 (1981), 53-73.
    • (1981) Publ. Math. IHES , vol.53 , pp. 53-73
    • Gromov, M.1
  • 11
    • 0002874575 scopus 로고
    • Asymptotic invariants of infinite groups
    • (G.A. Niblo, M.A. Roller, eds.), Proc. of the Symposium held in Sussex, LMS Lecture Notes Series 181, Cambridge University Press
    • M. GROMOV, Asymptotic Invariants of Infinite Groups, Geometric Group Theory (vol. 2) (G.A. Niblo, M.A. Roller, eds.), Proc. of the Symposium held in Sussex, LMS Lecture Notes Series 181, Cambridge University Press, 1991.
    • (1991) Geometric Group Theory , vol.2
    • Gromov, M.1
  • 13
    • 0033248118 scopus 로고    scopus 로고
    • Logarithm laws for flows on homogeneous spaces
    • D. KLEINBOCK, G.A. MARGULIS, Logarithm laws for flows on homogeneous spaces, Invent. Math. 138 (1999), 451-494.
    • (1999) Invent. Math. , vol.138 , pp. 451-494
    • Kleinbock, D.1    Margulis, G.A.2
  • 14
    • 0000947931 scopus 로고    scopus 로고
    • Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
    • B. KLEINER, B. LEEB, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Publ. Math. IHES 86 (1997), 115-197.
    • (1997) Publ. Math. IHES , vol.86 , pp. 115-197
    • Kleiner, B.1    Leeb, B.2
  • 15
    • 0000003125 scopus 로고
    • An exhaustion of locally symmetric spaces by compact submanifolds with corners
    • E. LEUZINGER, An exhaustion of locally symmetric spaces by compact submanifolds with corners, Invent. Math. 121:2 (1995), 389-410.
    • (1995) Invent. Math. , vol.121 , Issue.2 , pp. 389-410
    • Leuzinger, E.1
  • 16
    • 0001393102 scopus 로고
    • Cyclic subgroups of exponential growth and metrics on discrete groups
    • A. LUBOTZKY, S. MOZES, M.S. RAGHUNATHAN, Cyclic subgroups of exponential growth and metrics on discrete groups, C.R. Acad. Sci. Paris, Série 1, 317 (1993), 735-740.
    • (1993) C.R. Acad. Sci. Paris, Série 1 , vol.317 , pp. 735-740
    • Lubotzky, A.1    Mozes, S.2    Raghunathan, M.S.3
  • 18
    • 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
  • 19
    • 0041088712 scopus 로고    scopus 로고
    • Featured review of [E]
    • L. MOSHER, Featured Review of [E], Math. Reviews 98g:22005.
    • Math. Reviews , vol.98 G , pp. 22005
    • Mosher, L.1
  • 20
    • 0003297251 scopus 로고
    • Strong rigidity of locally symmetric spaces
    • Princeton University Press
    • G.D. MOSTOW, Strong Rigidity of Locally Symmetric Spaces, AMS Studies no.78, Princeton University Press 1973.
    • (1973) AMS Studies , vol.78
    • Mostow, G.D.1
  • 22
    • 0001773527 scopus 로고
    • Métriques de Carnot-Carathéodory et quasi-isométries des espaces symétriques de rang un
    • P. PANSU, Métriques de Carnot-Carathéodory et quasi-isométries des espaces symétriques de rang un, Ann. Math. 129 (1989), 1-60.
    • (1989) Ann. Math. , vol.129 , pp. 1-60
    • Pansu, P.1
  • 23
    • 0003269085 scopus 로고
    • Lectures on buildings
    • Academic Press
    • M. RONAN, Lectures on Buildings, Perspectives in Math. 7, Academic Press, 1989.
    • (1989) Perspectives in Math. , vol.7
    • Ronan, M.1
  • 24
    • 51649146590 scopus 로고
    • Quasi-isometric classification of rank one lattices
    • R.E. SCHWARTZ, Quasi-isometric classification of rank one lattices, Publ. Math. IHES 82 (1995), 133-168.
    • (1995) Publ. Math. IHES , vol.82 , pp. 133-168
    • Schwartz, R.E.1
  • 25
    • 0003174205 scopus 로고    scopus 로고
    • Quasi-isometry rigidity and Diophantine approximation
    • R.E. SCHWARTZ, Quasi-isometry rigidity and Diophantine approximation, Acta Math. 177 (1996), 75-112.
    • (1996) Acta Math. , vol.177 , pp. 75-112
    • Schwartz, R.E.1
  • 26
    • 0039901694 scopus 로고    scopus 로고
    • Invariant measures and orbit closures on homogeneous spaces for actions of subgroups generated by unipotent elements
    • Lie Groups and Ergodic Theory (Mumbai, 1996)
    • N. SHAH, Invariant measures and orbit closures on homogeneous spaces for actions of subgroups generated by unipotent elements, in "Lie Groups and Ergodic Theory (Mumbai, 1996)," Bombay Tata Inst. Fund. Res. Stud. Math. 14, (1998), 229-271.
    • (1998) Bombay Tata Inst. Fund. Res. Stud. Math. , vol.14 , pp. 229-271
    • Shah, N.1
  • 27
    • 34250224475 scopus 로고
    • Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics
    • D. SULLIVAN, Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics, Acta Math. 149 (1982), 215-237.
    • (1982) Acta Math. , vol.149 , pp. 215-237
    • Sullivan, D.1
  • 28
    • 0003298684 scopus 로고
    • Buildings of spherical type and finite BN-pairs
    • Springer Verlag
    • J. TITS, Buildings of Spherical Type and Finite BN-Pairs, Springer Lecture Notes 386, Springer Verlag 1974.
    • (1974) Springer Lecture Notes , vol.386
    • Tits, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.