메뉴 건너뛰기




Volumn 9, Issue 5, 2001, Pages 951-982

The large scale geometry of nilpotent Lie groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0012490852     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.2001.v9.n5.a2     Document Type: Article
Times cited : (46)

References (32)
  • 1
    • 0001123306 scopus 로고
    • Nonpositively curved manifolds of higher rank
    • W. Ballmann, Nonpositively curved manifolds of higher rank, Annals of Mathematics, 122(2) (1985), 597-609.
    • (1985) Annals of Mathematics , vol.122 , Issue.2 , pp. 597-609
    • Ballmann, W.1
  • 3
    • 0001787207 scopus 로고
    • A.D. Aleksandrov spaces with curvatures bounded below
    • Yu. Burago, M. Gromov, and G. Perel'man. A.D. Aleksandrov spaces with curvatures bounded below, Uspekhi Mat. Nauk, 47(2(284)) (1992), 3-51, 222; Translated in Russian Math. Surveys, 47(2) (1992), 1-58.
    • (1992) Uspekhi Mat. Nauk , vol.47 , Issue.2-284 , pp. 3-51
    • Burago, Yu.1    Gromov, M.2    Perel'man, G.3
  • 4
    • 0013556803 scopus 로고
    • Translated in
    • Yu. Burago, M. Gromov, and G. Perel'man. A.D. Aleksandrov spaces with curvatures bounded below, Uspekhi Mat. Nauk, 47(2(284)) (1992), 3-51, 222; Translated in Russian Math. Surveys, 47(2) (1992), 1-58.
    • (1992) Russian Math. Surveys , vol.47 , Issue.2 , pp. 1-58
  • 7
    • 34250951325 scopus 로고
    • Systeme von linearen partiellen differential gleichugen erster ordnug
    • W. L. Chow. Systeme von linearen partiellen differential gleichugen erster ordnug, Annals of Mathematics, 117 (1939), 98-105.
    • (1939) Annals of Mathematics , vol.117 , pp. 98-105
    • Chow, W.L.1
  • 8
    • 0003535772 scopus 로고
    • Allyn and Bacon, Boston
    • J. Dugundji, Topology, Allyn and Bacon, Boston, 1966.
    • (1966) Topology
    • Dugundji, J.1
  • 9
    • 0003418232 scopus 로고
    • Springer-Verlag New York Inc., New York, Die Grundlehren der mathematischen Wissenschaften
    • H. Federer, Geometric measure theory, Springer-Verlag New York Inc., New York, 1969; Die Grundlehren der mathematischen Wissenschaften, Band 153.
    • (1969) Geometric Measure Theory , vol.153
    • Federer, H.1
  • 11
    • 0038495726 scopus 로고
    • Structures métriques pour les variétés riemanniennes
    • CEDIC, Paris, Edited by J. Lafontaine and P. Pansu
    • M. Gromov, Structures métriques pour les variétés riemanniennes, Textes Mathématiques [Mathematical Texts], 1 CEDIC, Paris, 1981, Edited by J. Lafontaine and P. Pansu.
    • (1981) Textes Mathématiques [mathematical Texts] , vol.1
    • Gromov, M.1
  • 12
    • 0002874575 scopus 로고
    • Asymptotic invariants of infinite groups
    • Sussex
    • M. Gromov. Asymptotic invariants of infinite groups, in 'Geometric group theory', 2 (Sussex, 1991); London Math. Soc. Lecture Note Ser., 182, 1-295, Cambridge Univ. Press, Cambridge, 1993.
    • (1991) Geometric Group Theory , vol.2
    • Gromov, M.1
  • 13
    • 0003395274 scopus 로고
    • Cambridge Univ. Press, Cambridge
    • M. Gromov. Asymptotic invariants of infinite groups, in 'Geometric group theory', 2 (Sussex, 1991); London Math. Soc. Lecture Note Ser., 182, 1-295, Cambridge Univ. Press, Cambridge, 1993.
    • (1993) London Math. Soc. Lecture Note Ser. , vol.182 , pp. 1-295
  • 14
    • 0002299742 scopus 로고    scopus 로고
    • Carnot-Carathéodory spaces seen from within
    • 'Sub-Riemannian geometry', Birkhäuser, Basel
    • M. Gromov. Carnot-Carathéodory spaces seen from within, in 'Sub-Riemannian geometry', Progr. Math., 144, 79-323. Birkhäuser, Basel, 1996.
    • (1996) Progr. Math. , vol.144 , pp. 79-323
    • Gromov, M.1
  • 16
    • 84972510989 scopus 로고
    • A geometric characterization of locally symmetric spaces
    • U. Hamenstädt, A geometric characterization of locally symmetric spaces, Journal of Differnetial Geometry, 34(1) (1991), 193-221.
    • (1991) Journal of Differnetial Geometry , vol.34 , Issue.1 , pp. 193-221
    • Hamenstädt, U.1
  • 17
    • 84966252260 scopus 로고
    • Rectifiable metric spaces: Local structure and the regularity of the Hausdorff measure
    • B. Kirchheim, Rectifiable metric spaces: Local structure and the regularity of the Hausdorff measure, Proc. Amer. Math. Soc., 121 (1994), 113-123.
    • (1994) Proc. Amer. Math. Soc. , vol.121 , pp. 113-123
    • Kirchheim, B.1
  • 21
    • 0000055983 scopus 로고
    • Sobolev spaces and harmonic maps for metric space targets
    • N.J. Korevaar and R.M. Schoen, Sobolev spaces and harmonic maps for metric space targets, Communications in Analytic Geometry, 1(3-4) (1993), 561-659.
    • (1993) Communications in Analytic Geometry , vol.1 , Issue.3-4 , pp. 561-659
    • Korevaar, N.J.1    Schoen, R.M.2
  • 24
    • 0001031598 scopus 로고
    • The differential of a quasi-conformal mapping of a Carnot-Carathéodory space
    • G.A. Margulis and G.D. Mostow, The differential of a quasi-conformal mapping of a Carnot-Carathéodory space, Geometric and Functional Analysis, 5(2) (1995), 402-433.
    • (1995) Geometric and Functional Analysis , vol.5 , Issue.2 , pp. 402-433
    • Margulis, G.A.1    Mostow, G.D.2
  • 26
    • 0003297251 scopus 로고
    • Strong rigidity of locally symmetric spaces
    • Princeton University Press, Princeton, N.J.
    • G.D. Mostow, Strong rigidity of locally symmetric spaces, Annals of Mathematical Studies, 78, Princeton University Press, Princeton, N.J., 1973.
    • (1973) Annals of Mathematical Studies , vol.78
    • Mostow, G.D.1
  • 27
    • 51249165801 scopus 로고
    • The tangent cone of an aleksandrov space of curvature ≤ k
    • I. Nikolaev, The tangent cone of an Aleksandrov space of curvature ≤ k, Manuscripta Mathematica, 86(2) (1995), 137-147.
    • (1995) Manuscripta Mathematica , vol.86 , Issue.2 , pp. 137-147
    • Nikolaev, I.1
  • 28
    • 0001010429 scopus 로고
    • Croissance des boules et des géodésiques fermé dans les nilvariétés
    • P. Pansu, Croissance des boules et des géodésiques fermé dans les nilvariétés, Ergodic Theory Dynamical Systems, 3(3) (1983), 415-445.
    • (1983) Ergodic Theory Dynamical Systems , vol.3 , Issue.3 , pp. 415-445
    • Pansu, P.1
  • 29
    • 0001773527 scopus 로고
    • Métriques de carnot-carathéodory et quasiisométries des espaces symétriques de rang un
    • P. Pansu, Métriques de Carnot-Carathéodory et quasiisométries des espaces symétriques de rang un, Annals of Mathematics (2), 129(1) (1989), 1-60.
    • (1989) Annals of Mathematics (2) , vol.129 , Issue.1 , pp. 1-60
    • Pansu, P.1
  • 32
    • 84966204864 scopus 로고
    • Curvature in nilpotent Lie groups
    • J.A. Wolf, Curvature in nilpotent Lie groups, Proc. Amer. Math. Soc., 15 (1964), 271-274.
    • (1964) Proc. Amer. Math. Soc. , vol.15 , pp. 271-274
    • Wolf, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.