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Volumn 8, Issue 3, 1997, Pages 317-344

Holonomy of sub-Riemannian manifolds

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EID: 0031285803     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X97000159     Document Type: Article
Times cited : (15)

References (31)
  • 3
    • 0000416310 scopus 로고
    • Sur les groupes d'holonomie des variétés à connexion affine et des variétés Riemanniennes
    • M. Berger, Sur les groupes d'holonomie des variétés à connexion affine et des variétés Riemanniennes, Bull. Soc. Math. France 83 (1955), 279-330.
    • (1955) Bull. Soc. Math. France , vol.83 , pp. 279-330
    • Berger, M.1
  • 4
    • 0002990713 scopus 로고
    • Les espaces symétriques non compacts
    • M. Berger, Les espaces symétriques non compacts, Ann. Sc. Éc. Norm. Sup. 74 (3) (1957), 85-177.
    • (1957) Ann. Sc. Éc. Norm. Sup. , vol.74 , Issue.3 , pp. 85-177
    • Berger, M.1
  • 5
    • 85033098666 scopus 로고
    • The Lie bracket and the curvature tensor
    • R. L. Faber, The Lie bracket and the curvature tensor, L'Enseignement Mathématique, 22 (1976), 29-35.
    • (1976) L'enseignement Mathématique , vol.22 , pp. 29-35
    • Faber, R.L.1
  • 6
    • 0000992495 scopus 로고
    • On contact sub-Riemannian symmetric spaces
    • E. Falbel and C. Gorodski, On contact sub-Riemannian symmetric spaces, Ann. Sc. Éc. Norm. Sup. 28 (4) (1995) 571-589.
    • (1995) Ann. Sc. Éc. Norm. Sup. , vol.28 , Issue.4 , pp. 571-589
    • Falbel, E.1    Gorodski, C.2
  • 7
    • 0000344248 scopus 로고    scopus 로고
    • Sub-Riemannian homogeneous spaces in dimensions 3 and 4
    • E. Falbel and C. Gorodski, Sub-Riemannian homogeneous spaces in dimensions 3 and 4, Geom. Dedicata, 62 (1996), 227-252.
    • (1996) Geom. Dedicata , vol.62 , pp. 227-252
    • Falbel, E.1    Gorodski, C.2
  • 8
    • 0010676110 scopus 로고
    • A parallelism for conformal sub-Riemanman geometry
    • preprint, IMEUSP
    • E. Falbel and J. M. Veloso, A parallelism for conformal sub-Riemanman geometry, preprint, IMEUSP, 1993, to appear in Math. Forum.
    • (1993) Math. Forum
    • Falbel, E.1    Veloso, J.M.2
  • 11
    • 84972555800 scopus 로고
    • Betti numbers, characteristic classes and sub-Riemanman, geometry
    • Z. Ge, Betti numbers, characteristic classes and sub-Riemanman, geometry, Illinois J. Math., 36 (1992), 372-403.
    • (1992) Illinois J. Math. , vol.36 , pp. 372-403
    • Ge, Z.1
  • 12
    • 84972575110 scopus 로고
    • Horizontal path spaces and Carnot-Carathéodory metrics
    • Z. Ge, Horizontal path spaces and Carnot-Carathéodory metrics, Pacific J. Math. 161 (1993), 255-286.
    • (1993) Pacific J. Math. , vol.161 , pp. 255-286
    • Ge, Z.1
  • 15
    • 84974277573 scopus 로고
    • Geodesic flows of negatively curved manifolds with smooth stable and unstable foliations
    • M. Kanai, Geodesic flows of negatively curved manifolds with smooth stable and unstable foliations, Ergod. Th. and Dynam. Sys., 8 (1988), 215-239.
    • (1988) Ergod. Th. and Dynam. Sys. , vol.8 , pp. 215-239
    • Kanai, M.1
  • 18
    • 84972526602 scopus 로고
    • On Carnot-Carathéodory metrics
    • J. Mitchell, On Carnot-Carathéodory metrics, J. Diff. Geometry 21 (1985), 34-45.
    • (1985) J. Diff. Geometry , vol.21 , pp. 34-45
    • Mitchell, J.1
  • 19
    • 34249759036 scopus 로고
    • A survey of singular curves in sub-Riemannian geometry
    • R. Montgomery, A survey of singular curves in sub-Riemannian geometry, J. Dyn. and Control Syst. 1(1), (1995), 49-90.
    • (1995) J. Dyn. and Control Syst. , vol.1 , Issue.1 , pp. 49-90
    • Montgomery, R.1
  • 20
    • 0000160094 scopus 로고
    • The exponential map for the Lagrange problem on differentiate manifolds
    • C. B. Rayner, The exponential map for the Lagrange problem on differentiate manifolds, Phil. Trans. Royal Soc. London 262 (1967), 299-344.
    • (1967) Phil. Trans. Royal Soc. London , vol.262 , pp. 299-344
    • Rayner, C.B.1
  • 21
    • 0000553420 scopus 로고
    • Un complexe de formes différentielles sur les variétés de contact
    • M. Rumin, Un complexe de formes différentielles sur les variétés de contact, C. R. Acad. Sci. Paris 310 (I) (1990), 401-404.
    • (1990) C. R. Acad. Sci. Paris , vol.310 , Issue.1 , pp. 401-404
    • Rumin, M.1
  • 22
    • 84972492625 scopus 로고
    • Formes différentielles sur les variétés de contact
    • M. Rumin, Formes différentielles sur les variétés de contact, J. Diff. Geometry, 39 (1994), 281-330.
    • (1994) J. Diff. Geometry , vol.39 , pp. 281-330
    • Rumin, M.1
  • 24
    • 0010723452 scopus 로고
    • On the homotopy type of the spaces of trajectories of holonomic dynamical systems
    • A. A. V. Sarychev, On the homotopy type of the spaces of trajectories of holonomic dynamical systems, Dokl. Acad. Sci. USSR 314 (6) (1990).
    • (1990) Dokl. Acad. Sci. USSR , vol.314 , Issue.6
    • Sarychev, A.A.V.1
  • 25
    • 0000124732 scopus 로고
    • On transitivity of holonomy systems
    • J. Simons, On transitivity of holonomy systems, Ann. Math. 76 (1962), 213-234.
    • (1962) Ann. Math. , vol.76 , pp. 213-234
    • Simons, J.1
  • 26
    • 84972551517 scopus 로고
    • Sub-Riemanman geometry
    • R. S. Strichartz, Sub-Riemanman geometry, J. Diff. Geometry 24 (1986), 221-263.
    • (1986) J. Diff. Geometry , vol.24 , pp. 221-263
    • Strichartz, R.S.1
  • 27
    • 84972492827 scopus 로고
    • Corrections to 'sub-Riemannian geometry'
    • R. S. Strichartz, Corrections to 'Sub-Riemannian geometry', J. Diff. Geometry 30 (1989), 595-596.
    • (1989) J. Diff. Geometry , vol.30 , pp. 595-596
    • Strichartz, R.S.1
  • 29
    • 0003041322 scopus 로고
    • Non-holonomic dynamical systems, geometry of distributions and variational problems
    • Springer-Verlag, Russian original 1987
    • A. M. Vershik and V. Ya. Gershkovich, Non-holonomic Dynamical Systems, Geometry of Distributions and Variational Problems, volume 16 of Encyclopaedia of Mathematical Sciences series, Springer-Verlag, 1994, p.p. 1-81, Russian original 1987.
    • (1994) Encyclopaedia of Mathematical Sciences Series , vol.16 , pp. 1-81
    • Vershik, A.M.1    Gershkovich, V.Ya.2
  • 30
    • 84972492831 scopus 로고
    • Pseudo-Hermitian structures on a real hypersurface
    • S. M. Webster, Pseudo-Hermitian structures on a real hypersurface, J. Diff. Geometry 13 (1978), 25-41.
    • (1978) J. Diff. Geometry , vol.13 , pp. 25-41
    • Webster, S.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.