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Volumn 38, Issue 32, 2005, Pages 7145-7160

Classical field theory on Lie algebroids: Variational aspects

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EID: 23744517380     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/32/005     Document Type: Article
Times cited : (27)

References (26)
  • 2
    • 19044381592 scopus 로고    scopus 로고
    • Lie algebroid morphisms, Poisson sigma models, and off-shell closed gauge symmetries
    • Bojowald M, Kotov A and Strobl T 2005 Lie algebroid morphisms, Poisson sigma models, and off-shell closed gauge symmetries J. Geom. Phys. 54 400-26
    • (2005) J. Geom. Phys. , vol.54 , Issue.4 , pp. 400-426
    • Bojowald, M.1    Kotov, A.2    Strobl, T.3
  • 4
    • 0000223236 scopus 로고
    • On the multisymplectic formalism for first order field theories
    • Carĩena J F, Crampin M and Ibort L A 1991 On the multisymplectic formalism for first order field theories Differ. Geom. Appl. 1 345-74
    • (1991) Differ. Geom. Appl. , vol.1 , Issue.4 , pp. 345-374
    • Carĩena, J.F.1    Crampin, M.2    Ibort, L.A.3
  • 5
    • 0038468731 scopus 로고    scopus 로고
    • Reduction in principal bundles: Covariant Lagrange-Poincaré equations
    • Castrillón López M and Ratiu T S 2003 Reduction in principal bundles: covariant Lagrange-Poincaré equations Commun. Math. Phys. 236 223-50
    • (2003) Commun. Math. Phys. , vol.236 , Issue.2 , pp. 223-250
    • Castrillón López, M.1    Ratiu, T.S.2
  • 7
    • 1842490208 scopus 로고    scopus 로고
    • Reduction in principal fiber bundles: Covariant Euler-Poincaré equations
    • Castrillón López M, Ratiu T S and Shkoller S 2000 Reduction in principal fiber bundles: covariant Euler-Poincaré equations Proc. Am. Math. Soc. 128 2155-64
    • (2000) Proc. Am. Math. Soc. , vol.128 , Issue.7 , pp. 2155-2164
    • Castrillón López, M.1    Ratiu, T.S.2    Shkoller, S.3
  • 8
    • 8644241816 scopus 로고    scopus 로고
    • Mechanical control systems on Lie algebroids
    • Cortés J and Martínez M 2004 Mechanical control systems on Lie algebroids IMA J. Math. Control Inform. 21 457-92
    • (2004) IMA J. Math. Control Inform. , vol.21 , Issue.4 , pp. 457-492
    • Cortés, J.1    Martínez, M.2
  • 11
    • 0000094449 scopus 로고
    • The Poincaré-Cartan invariant in the calculus of variations
    • García-Pérez P L 1974 The Poincaré-Cartan invariant in the calculus of variations Symp. Math. vol 14 (London: Academic) pp 219-46 (Convegno di Geometria Simplettica e Fisica Matematica, INDAM, Rome, 1973)
    • (1974) Symp. Math. , vol.14 , pp. 219-246
    • García-Pérez, P.L.1
  • 13
    • 0000082862 scopus 로고
    • The Hamilton-Cartan formalism in the calculus of variations
    • Goldschmidt H and Sternberg S 1973 The Hamilton-Cartan formalism in the calculus of variations Ann. Inst. Fourier (Grenoble) 23 203-67
    • (1973) Ann. Inst. Fourier (Grenoble) , vol.23 , pp. 203-267
    • Goldschmidt, H.1    Sternberg, S.2
  • 16
    • 0001576518 scopus 로고    scopus 로고
    • Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids
    • Grabowski J and Urbanski P 1997 Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids Ann. Global Anal. Geom. 15 447-86
    • (1997) Ann. Global Anal. Geom. , vol.15 , Issue.5 , pp. 447-486
    • Grabowski, J.1    Urbanski, P.2
  • 18
    • 0032376689 scopus 로고    scopus 로고
    • Classical lifting processes and multiplicative vector fields
    • Mackenzie K and Xu P 1998 Classical lifting processes and multiplicative vector fields Q. J. Math. Oxford Ser. 49 59-85
    • (1998) Q. J. Math. Oxford Ser. , vol.49 , pp. 59-85
    • MacKenzie, K.1    Xu, P.2
  • 19
    • 0035385190 scopus 로고    scopus 로고
    • Lagrangian mechanics on Lie algebroids
    • Martínez E 2001 Lagrangian mechanics on Lie algebroids Acta Appl. Math. 67 295-320
    • (2001) Acta Appl. Math. , vol.67 , Issue.3 , pp. 295-320
    • Martínez, E.1
  • 20
    • 0036837579 scopus 로고    scopus 로고
    • Lie algebroid structures and Lagrangian systems on affine bundles
    • Martínez E, Mestdag T and Sarlet W 2002 Lie algebroid structures and Lagrangian systems on affine bundles J. Geom. Phys. 44 70-95
    • (2002) J. Geom. Phys. , vol.44 , Issue.1 , pp. 70-95
    • Martínez, E.1    Mestdag, T.2    Sarlet, W.3
  • 21
    • 0002554421 scopus 로고    scopus 로고
    • Vector form brackets in Lie algebroids
    • Nijenhuis A 1996 Vector form brackets in Lie algebroids Arch. Math. (Brno) 32 317-23
    • (1996) Arch. Math. (Brno) , vol.32 , pp. 317-323
    • Nijenhuis, A.1
  • 23
    • 0036850829 scopus 로고    scopus 로고
    • Lie algebroid structures on a class of affine bundles
    • Sarlet W, Mestdag T and Martínez E 2002 Lie algebroid structures on a class of affine bundles J. Math. Phys. 43 5654-74
    • (2002) J. Math. Phys. , vol.43 , Issue.11 , pp. 5654-5674
    • Sarlet, W.1    Mestdag, T.2    Martínez, E.3
  • 25
    • 2442492116 scopus 로고    scopus 로고
    • Gravity from Lie algebroid morphisms
    • Strobl T 2004 Gravity from Lie algebroid morphisms Commun. Math. Phys. 246 475-502
    • (2004) Commun. Math. Phys. , vol.246 , Issue.3 , pp. 475-502
    • Strobl, T.1
  • 26
    • 0000714030 scopus 로고    scopus 로고
    • Lagrangian mechanics and groupoids
    • Weinstein A 1996 Lagrangian mechanics and groupoids Mechanics Day (Waterloo, ON, 1992) (Fields Institute Communications vol 7) (Providence, RI: American Mathematical Society) pp 207-31
    • (1996) Mechanics Day , pp. 207-231
    • Weinstein, A.1


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