메뉴 건너뛰기




Volumn 20, Issue 2-3, 1996, Pages 195-206

Generalized symplectic geometry as a covering theory for the Hamiltonian theories of classical particles and fields

Author keywords

Frame bundle; Hamiltonian field theories; Hamiltonian mechanics; Multisymplectic geometry; Symplectic geometry

Indexed keywords


EID: 0030268639     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/0393-0440(95)00053-4     Document Type: Article
Times cited : (9)

References (14)
  • 2
    • 21344489478 scopus 로고
    • Geometric prequantization on the spin bundle based on n-symplectic geometry: The Dirac equation
    • [2] R.O. Fulp, J.K. Lawson and L.K. Norris, Geometric prequantization on the spin bundle based on n-symplectic geometry: The Dirac equation, Internat. J. Theoret. Phys. 33 (1994) 1011-1028.
    • (1994) Internat. J. Theoret. Phys. , vol.33 , pp. 1011-1028
    • Fulp, R.O.1    Lawson, J.K.2    Norris, L.K.3
  • 3
    • 0000667858 scopus 로고
    • A multisymplectic approach to the KdV equation
    • eds. K. Bleuler and M. Werner, NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, Kluwer, Dordrecht
    • [3] M. Gotay, A multisymplectic approach to the KdV equation, in: Differential Geometric Methods in Theoretical Physics, eds. K. Bleuler and M. Werner, NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, Vol. 250 (Kluwer, Dordrecht, 1988) 295-305.
    • (1988) Differential Geometric Methods in Theoretical Physics , vol.250 , pp. 295-305
    • Gotay, M.1
  • 4
    • 0002956967 scopus 로고
    • A multisymplectic framework for classical field theory and the calculus of variations, I: Covariant Hamiltonian formalism
    • ed. M. Francaviglia North-Holland, Amsterdam
    • [4] M. Gotay, A multisymplectic framework for classical field theory and the calculus of variations, I: Covariant Hamiltonian formalism, in: Mechanics, Analysis and Geometry: 200 Years after Lagrange, ed. M. Francaviglia (North-Holland, Amsterdam, 1991) 203-235.
    • (1991) Mechanics, Analysis and Geometry: 200 Years after Lagrange , pp. 203-235
    • Gotay, M.1
  • 6
    • 84972525384 scopus 로고
    • The polysymplectic Hamiltonian formalism in field theory and calculus of variations, I: The local case
    • [6] C. Günther, The polysymplectic Hamiltonian formalism in field theory and calculus of variations, I: The local case, J. Differential Geom. 25 (1987) 23-53.
    • (1987) J. Differential Geom. , vol.25 , pp. 23-53
    • Günther, C.1
  • 7
    • 0003347176 scopus 로고
    • A symplectic framework for field theories
    • Springer, Berlin
    • [7] J. Kijowski and W.M. Tulczyjew, A symplectic framework for field theories, Lecture Notes in Math., Vol. 170 (Springer, Berlin, 1979).
    • (1979) Lecture Notes in Math. , vol.170
    • Kijowski, J.1    Tulczyjew, W.M.2
  • 10
    • 0001031484 scopus 로고
    • Jacobi-type identities for bilinear differential concomitants of certain tensor fields
    • [10] A. Nijenhuis, Jacobi-type identities for bilinear differential concomitants of certain tensor fields, Indag. Math. 17 (1955) 390-403.
    • (1955) Indag. Math. , vol.17 , pp. 390-403
    • Nijenhuis, A.1
  • 11
    • 0003214040 scopus 로고
    • Generalized symplectic geometry on the frame bundle of a manifold
    • eds. R.E. Greene and S.T. Yau
    • [11] L.K. Norris, Generalized symplectic geometry on the frame bundle of a manifold, in: AMS Summer Research Institute on Differential Geometry, eds. R.E. Greene and S.T. Yau (1990); Proc. Symp. Pure Math. Vol. 54, Part 2 (American Mathematical Soc., Providence, RI, 1993) 435-465.
    • (1990) AMS Summer Research Institute on Differential Geometry
    • Norris, L.K.1
  • 12
    • 0000653129 scopus 로고
    • American Mathematical Soc., Providence, RI
    • [11] L.K. Norris, Generalized symplectic geometry on the frame bundle of a manifold, in: AMS Summer Research Institute on Differential Geometry, eds. R.E. Greene and S.T. Yau (1990); Proc. Symp. Pure Math. Vol. 54, Part 2 (American Mathematical Soc., Providence, RI, 1993) 435-465.
    • (1993) Proc. Symp. Pure Math. , vol.54 , Issue.PART 2 , pp. 435-465
  • 13
    • 0002489478 scopus 로고
    • Symplectic geometry on T*M derived from n-symplectic geometry on LM
    • [12] L.K. Norris, Symplectic geometry on T*M derived from n-symplectic geometry on LM, J. Geom. Phys. 13 (1994) 51-78.
    • (1994) J. Geom. Phys. , vol.13 , pp. 51-78
    • Norris, L.K.1
  • 14
    • 0000865547 scopus 로고
    • Über Differentialkomitanten zweier kontravarianter Grossen
    • [13] J.A. Schouten, Über Differentialkomitanten zweier kontravarianter Grossen, Proc. Kon. Nedert. Akad. Wetensch. Amsterdam 43 (1940) 449-452.
    • (1940) Proc. Kon. Nedert. Akad. Wetensch. Amsterdam , vol.43 , pp. 449-452
    • Schouten, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.