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Volumn 119, Issue 3, 1997, Pages 609-670

Symmetry reduction of variational bicomplexes and the principle of symmetric criticality

(2)  Anderson, Ian M a   Fels, Mark E a  

a NONE

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EID: 0000236248     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.1997.0015     Document Type: Article
Times cited : (17)

References (24)
  • 2
    • 0003143579 scopus 로고
    • Variational principles for second order quasi-linear scalar equations
    • I. M. Anderson and T. Duchamp, Variational principles for second order quasi-linear scalar equations, J. Differential Equations 51 (1984), 1-47.
    • (1984) J. Differential Equations , vol.51 , pp. 1-47
    • Anderson, I.M.1    Duchamp, T.2
  • 3
    • 33947110086 scopus 로고
    • Cohomology of invariant variational hicomplexes
    • I. M. Anderson and J. Pohjanpelto, Cohomology of invariant variational hicomplexes, Acta Appl. Math. 41 (1995), 3-19.
    • (1995) Acta Appl. Math. , vol.41 , pp. 3-19
    • Anderson, I.M.1    Pohjanpelto, J.2
  • 5
    • 84968475636 scopus 로고
    • Cohomology theory of Lie groups and Lie algebras
    • C. Chevalley and S. Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 68 (1948), 85-124.
    • (1948) Trans. Amer. Math. Soc. , vol.68 , pp. 85-124
    • Chevalley, C.1    Eilenberg, S.2
  • 6
    • 0039761867 scopus 로고    scopus 로고
    • The inverse problem for fourth order scalar ordinary differential equations
    • to appear
    • M. Fels, The inverse problem for fourth order scalar ordinary differential equations, Trans. Amer. Math. Soc. (to appear).
    • Trans. Amer. Math. Soc.
    • Fels, M.1
  • 7
  • 10
    • 0002894147 scopus 로고
    • Groups and geometric analysis: Integral geometry, invariant differential operators and spherical functions
    • Academic Press, New York
    • S. Helgason, Groups and Geometric Analysis: Integral Geometry, Invariant Differential Operators and Spherical Functions, Pure Appl. Math., vol. 113, Academic Press, New York, 1984.
    • (1984) Pure Appl. Math. , vol.113
    • Helgason, S.1
  • 13
    • 2842522281 scopus 로고
    • Variational principles and spatically-homogeneous universes, including rotation
    • M. A. H. MacCallum and A. H. Taub, Variational principles and spatically-homogeneous universes, including rotation, Comm. Math. Phys. 25 (1972), 173-189.
    • (1972) Comm. Math. Phys. , vol.25 , pp. 173-189
    • MacCallum, M.A.H.1    Taub, A.H.2
  • 14
    • 49549151837 scopus 로고
    • Reduction of sympletic manifolds with symmetry
    • J. Marsden and A. Weinstein, Reduction of sympletic manifolds with symmetry, Rep. Math. Phys. 5 (1974), 121-130.
    • (1974) Rep. Math. Phys. , vol.5 , pp. 121-130
    • Marsden, J.1    Weinstein, A.2
  • 18
    • 0002783768 scopus 로고
    • The principle of symmetric criticality
    • R. S. Palais, The principle of symmetric criticality, Comm. Math. Phys. 69 (1979), 19-30.
    • (1979) Comm. Math. Phys. , vol.69 , pp. 19-30
    • Palais, R.S.1
  • 19
    • 0040947915 scopus 로고
    • Symmetry, criticality and the condition C
    • O. A. Laudal and B. Jahren, eds., Scandinavian University Press
    • _, Symmetry, criticality and the condition C, Proceedings of the Sophus Lie Memorial Conference (O. A. Laudal and B. Jahren, eds.), Scandinavian University Press, 1994, pp. 77-98.
    • (1994) Proceedings of the Sophus Lie Memorial Conference , pp. 77-98
  • 20
    • 36749108383 scopus 로고
    • Invariants of real low dimension Lie algebras
    • J. Patera, R. T. Sharp, and P. Winternitz, Invariants of real low dimension Lie algebras, J. Math. Phys. 17 (1976), 986-994.
    • (1976) J. Math. Phys. , vol.17 , pp. 986-994
    • Patera, J.1    Sharp, R.T.2    Winternitz, P.3
  • 21
    • 34250603285 scopus 로고
    • Sur les invariants différentiels des group continus de transformations
    • A. R. Tresse, Sur les invariants différentiels des group continus de transformations, Acta Marh. 18 (1894), 1-88.
    • (1894) Acta Marh. , vol.18 , pp. 1-88
    • Tresse, A.R.1
  • 22
    • 84972567177 scopus 로고
    • On variational bicomplexes associated to differential equations
    • T. Tsujishita, On variational bicomplexes associated to differential equations, Osaka J. Math. 19 (1982), 311-363.
    • (1982) Osaka J. Math. , vol.19 , pp. 311-363
    • Tsujishita, T.1
  • 23
    • 0002279696 scopus 로고
    • Lie groups and solutions of linear partial differential equations
    • A. Ibort and M. A. Rodriguez, eds., Kluwer Academic, Dordrecht
    • P. Winternitz, Lie groups and solutions of linear partial differential equations, Integrable Systems, Quantum Groups, and Quantum Field Theories (A. Ibort and M. A. Rodriguez, eds.), Kluwer Academic, Dordrecht, 1992.
    • (1992) Integrable Systems, Quantum Groups, and Quantum Field Theories
    • Winternitz, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.