메뉴 건너뛰기




Volumn 73, Issue 2, 2001, Pages 165-190

Non-holonomic connections following Élie Cartan

Author keywords

Affine connections; Cartan's equivalence method; Non holonomic mechanics

Indexed keywords


EID: 0013135927     PISSN: 00013765     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0001-37652001000200003     Document Type: Article
Times cited : (17)

References (22)
  • 3
    • 0033177369 scopus 로고    scopus 로고
    • What is a completely integrable nonholonomic dynamical system?
    • BATES L AND CUSHMAN R. 1999. What is a completely integrable nonholonomic dynamical system? Rep Math Phys, 44(1/2): 29-35.
    • (1999) Rep Math Phys , vol.44 , Issue.1-2 , pp. 29-35
    • Bates, L.1    Cushman, R.2
  • 4
    • 0029277505 scopus 로고
    • An orthonormal tangent space method for constrained multibody systems
    • BLAJER W. 1995. An orthonormal tangent space method for constrained multibody systems, Comput Methods Appl Mech Engrg, 121: 45-57.
    • (1995) Comput Methods Appl Mech Engrg , vol.121 , pp. 45-57
    • Blajer, W.1
  • 6
    • 0000778112 scopus 로고
    • Sur la representation géométrique des systèmes matériels non holonomes
    • Bologna
    • CARTAN E. 1928. Sur la representation géométrique des systèmes matériels non holonomes, Proc Int Congr Math, Bologna, 4: 253-261.
    • (1928) Proc Int Congr Math , vol.4 , pp. 253-261
    • Cartan, E.1
  • 7
    • 0001469546 scopus 로고
    • Selecta, Gauthier-Villars; 1910
    • CARTAN E. 1939. Selecta, Gauthier-Villars; 1910, Ann Sci École Norm Sup, 27: 109-192.
    • (1939) Ann Sci École Norm Sup , vol.27 , pp. 109-192
    • Cartan, E.1
  • 9
    • 0002389179 scopus 로고    scopus 로고
    • Proceedings of the Pacific Institute of Mathematical Sciences workshop on nonholonomic constraints in dynamics
    • CUSHMAN R AND ŚNIATYCKI J. 1998. Proceedings of the Pacific Institute of Mathematical Sciences workshop on nonholonomic constraints in dynamics, Rep Mathl Physics, 42: 1/2.
    • (1998) Rep Mathl Physics , vol.42 , Issue.1-2
    • Cushman, R.1    Śniatycki, J.2
  • 10
    • 0030557066 scopus 로고    scopus 로고
    • On the geometry of non-holonomic Lagrangian systems
    • DE LEÓN M AND MARTIN DE DIEGO D. 1996. On the geometry of non-holonomic Lagrangian systems, J Math Phys, 37: 3389-3414.
    • (1996) J Math Phys , vol.37 , pp. 3389-3414
    • De León, M.1    Martin De Diego, D.2
  • 13
    • 0000768876 scopus 로고
    • Reduction of some classical non-holonomic systems with symmetry
    • KOILLER J. 1992. Reduction of some classical non-holonomic systems with symmetry, Arch Rational Mech Anal, 118: 113-148.
    • (1992) Arch Rational Mech Anal , vol.118 , pp. 113-148
    • Koiller, J.1
  • 14
    • 0003217545 scopus 로고
    • Vector fields and other vector bundle morphisms - A singularity approach
    • Springer, Berlin
    • KOSCHORKE U. 1981. Vector fields and other vector bundle morphisms-a singularity approach. Lecture Notes in Mathematics 847, Springer, Berlin.
    • (1981) Lecture Notes in Mathematics , vol.847
    • Koschorke, U.1
  • 21
    • 0003041322 scopus 로고
    • Nonholonomic dynamical systems, geometry of distributions and variational problems
    • V.I. ARNOLD, S.P. NOVIKOV (Eds.), Springer-Verlag
    • VERSHIK AM AND GERSHKOVICH V. 1994. Nonholonomic dynamical systems, geometry of distributions and variational problems, in V.I. ARNOLD, S.P. NOVIKOV (Eds.), Dynamical Systems VII, Springer-Verlag.
    • (1994) Dynamical Systems VII
    • Vershik, A.M.1    Gershkovich, V.2
  • 22
    • 84972520422 scopus 로고
    • Connections on tangent bundles
    • VILMS J. 1967. Connections on tangent bundles, J Diff Geometry 1: 235-243.
    • (1967) J Diff Geometry , vol.1 , pp. 235-243
    • Vilms, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.