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Volumn 462, Issue 2069, 2006, Pages 1531-1551

Canonical multi-symplectic structure on the total exterior algebra bundle

Author keywords

Differential forms; Dirac operators; Nonlinear elliptic PDEs; Symplecticity

Indexed keywords


EID: 33749326404     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2005.1629     Document Type: Article
Times cited : (20)

References (30)
  • 1
    • 0141686655 scopus 로고    scopus 로고
    • Research Notes in Mathematics. Boca Raton, FL: Chapman fe Hall/CRC Press
    • Abbondandolo, A. 2001 Morse theory for Hamiltonian systems. Research Notes in Mathematics, vol. 425. Boca Raton, FL: Chapman fe Hall/CRC Press.
    • (2001) Morse Theory for Hamiltonian Systems , vol.425
    • Abbondandolo, A.1
  • 2
    • 0033465124 scopus 로고    scopus 로고
    • A superquadratic indefinite elliptic system and its Morse-Conley-Floer homology
    • Angenent, S. & Van Der Vorst, R. 1999 A superquadratic indefinite elliptic system and its Morse-Conley-Floer homology. Math. Z. 231, 203-248.
    • (1999) Math. Z. , vol.231 , pp. 203-248
    • Angenent, S.1    Van Der Vorst, R.2
  • 3
    • 0038225077 scopus 로고    scopus 로고
    • A priori bounds and renormalized Morse indices of solutions of an elliptic system
    • doi:10. 1016/50294-1449(00)00110-4
    • Angenent, S. & Van Der Vorst, R. 2000 A priori bounds and renormalized Morse indices of solutions of an elliptic system. Ann. Inst. H. Poincaré Anal. Non Linéaire 17, 277-306. (doi:10. 1016/50294-1449(00)00110-4)
    • (2000) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.17 , pp. 277-306
    • Angenent, S.1    Van Der Vorst, R.2
  • 7
    • 0042137401 scopus 로고    scopus 로고
    • Multi-symplectic structures and wave propagation
    • doi:10.1017/S0305004196001429
    • Bridges, T. J. 1997 Multi-symplectic structures and wave propagation. Math. Proc. Camb. Phil. Soc. 121, 147-190. (doi:10.1017/S0305004196001429)
    • (1997) Math. Proc. Camb. Phil. Soc. , vol.121 , pp. 147-190
    • Bridges, T.J.1
  • 8
    • 0012378714 scopus 로고    scopus 로고
    • Toral-equivariant partial differential equations and quasiperiodic patterns
    • doi:10.1088/0951-7715/11/3/005
    • Bridges, T. J. 1998 Toral-equivariant partial differential equations and quasiperiodic patterns. Nonlinearity 11, 467-500. (doi:10.1088/0951-7715/11/3/ 005)
    • (1998) Nonlinearity , vol.11 , pp. 467-500
    • Bridges, T.J.1
  • 9
    • 33746421439 scopus 로고    scopus 로고
    • Unstable eigenvalues, and the linearization about solitary waves and fronts with symmetry
    • doi:10.1098/rspa.1999.0437
    • Bridges, T. J. & Derks, G. 1999 Unstable eigenvalues, and the linearization about solitary waves and fronts with symmetry. Proc. R. Soc. A 455, 2427-2469. (doi:10.1098/rspa.1999.0437)
    • (1999) Proc. R. Soc. A , vol.455 , pp. 2427-2469
    • Bridges, T.J.1    Derks, G.2
  • 10
    • 0035582791 scopus 로고    scopus 로고
    • Symplectic Evans matrix, and the linearization about solitary waves and fronts
    • Bridges, T. J. & Derks, G. 2001 Symplectic Evans matrix, and the linearization about solitary waves and fronts. Arch. Rat. Mech. Anal. 150, 1-87.
    • (2001) Arch. Rat. Mech. Anal. , vol.150 , pp. 1-87
    • Bridges, T.J.1    Derks, G.2
  • 11
    • 27144435497 scopus 로고    scopus 로고
    • Degenerate periodic orbits and homoclinic torus bifurcation
    • doi:10.1103/PhysRevLett.95.104301
    • Bridges, T. J. & Donaldson, N. M. 2005 Degenerate periodic orbits and homoclinic torus bifurcation. Phys. Rev. Lett. 95, 104301. (doi:10.1103/ PhysRevLett.95.104301)
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 104301
    • Bridges, T.J.1    Donaldson, N.M.2
  • 12
  • 15
    • 23044533554 scopus 로고    scopus 로고
    • An overview on linear and nonlinear Dirac equations
    • Esteban, M. J. & Séré, E. 2002 An overview on linear and nonlinear Dirac equations. Discrete Cont. Dyn. Syst. 8, 381-397.
    • (2002) Discrete Cont. Dyn. Syst. , vol.8 , pp. 381-397
    • Esteban, M.J.1    Séré, E.2
  • 16
    • 84990602491 scopus 로고
    • The unregularized gradient flow of the symplectic action
    • Floor, A. 1988 The unregularized gradient flow of the symplectic action. Comm. Pure Appl. Math. 41, 775-813.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 775-813
    • Floor, A.1
  • 18
    • 0002956967 scopus 로고
    • A multisymplectic framework for classical field theory and the calculus of variations I. Covariant Hamiltonian formalism
    • (ed. M. Francaviglia). Amsterdam: North-Holland
    • Gotay, M. J. 1991 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), pp. 203-235. Amsterdam: North-Holland.
    • (1991) Mechanics, Analysis and Geometry: 200 Years after Lagrange , pp. 203-235
    • Gotay, M.J.1
  • 20
    • 0031497431 scopus 로고    scopus 로고
    • Basic properties of symplectic Dirac operators
    • doi:10.1007/s002200050077
    • Habermann, K. 1997 Basic properties of symplectic Dirac operators. Comm. Math. Phys. 184, 629-052. (doi:10.1007/s002200050077)
    • (1997) Comm. Math. Phys. , vol.184 , pp. 629-1052
    • Habermann, K.1
  • 21
    • 0034165330 scopus 로고    scopus 로고
    • A frame-bundle generalization of multisymplectic geometry
    • doi:10.1016/S0034-4877(00)89031-X
    • Lawson, J. K. 2000 A frame-bundle generalization of multisymplectic geometry. Rep. Math. Phys. 45, 183-205. (doi:10.1016/S0034-4877(00)89031-X)
    • (2000) Rep. Math. Phys. , vol.45 , pp. 183-205
    • Lawson, J.K.1
  • 22
    • 0004262551 scopus 로고    scopus 로고
    • London Mathematical Society Lecture Notes. Cambridge: Cambridge University Press
    • Lounesto, P. 1997 Clifford algebras and spinors. London Mathematical Society Lecture Notes, vol. 239. Cambridge: Cambridge University Press.
    • (1997) Clifford Algebras and Spinors , vol.239
    • Lounesto, P.1
  • 23
    • 0003610563 scopus 로고
    • London Mathematical Society Lecture Notes. Cambridge: Cambridge University Press
    • Marsden, J. E. 1992 Lectures on mechanics. London Mathematical Society Lecture Notes, vol. 174. Cambridge: Cambridge University Press.
    • (1992) Lectures on Mechanics , vol.174
    • Marsden, J.E.1
  • 24
    • 0013039699 scopus 로고    scopus 로고
    • Multi-symplectic geometry, covariant Hamiltonians and water waves, Math
    • doi:10.1017/S0305004198002953
    • Marsden, J. E. & Shkoller, S. 1999 Multi-symplectic geometry, covariant Hamiltonians and water waves, Math. Proc. Camb. Phil. Soc. 125, 553-575. (doi:10.1017/S0305004198002953)
    • (1999) Proc. Camb. Phil. Soc. , vol.125 , pp. 553-575
    • Marsden, J.E.1    Shkoller, S.2
  • 26
    • 0000653129 scopus 로고
    • Generalized symplectic geometry on the frame bundle of a manifold
    • Norris, L. K. 1993 Generalized symplectic geometry on the frame bundle of a manifold. Proc. Symp. Pure Math. 54, 435-405.
    • (1993) Proc. Symp. Pure Math. , vol.54 , pp. 435-1405
    • Norris, L.K.1
  • 28
    • 0003722214 scopus 로고    scopus 로고
    • London Mathematical Society, Student Texts. Cambridge: Cambridge University Press
    • Rosenberg, S. 1997 The Laplacian on a Riemannian manifold. London Mathematical Society, Student Texts, vol. 31. Cambridge: Cambridge University Press.
    • (1997) The Laplacian on a Riemannian Manifold , vol.31
    • Rosenberg, S.1
  • 30
    • 0001705860 scopus 로고
    • Bifurcations and Hamilton's principle
    • doi:10.1007/ BF01214573
    • Weinstein, A. 1978 Bifurcations and Hamilton's principle. Math. Z. 159, 235-248. (doi:10.1007/ BF01214573)
    • (1978) Math. Z. , vol.159 , pp. 235-248
    • Weinstein, A.1


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