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Volumn , Issue 34, 2004, Pages 1761-1783

An infinite-dimensional manifold structure for analytic Lie pseudogroups of infinite type

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EID: 3042814321     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792804132388     Document Type: Article
Times cited : (3)

References (20)
  • 1
    • 0002941751 scopus 로고
    • La structure des groupes infinis
    • 1er mars
    • E. Cartan, La structure des groupes infinis, Seminaire de Math., Exposé G, 1er mars 1937, reprinted in E. Cartan, Oeuvres complètes, Vol. II Éditions du Centre National de la Recherche Scientifique, Paris, France 1984.
    • (1937) Seminaire de Math., Exposé G
    • Cartan, E.1
  • 3
    • 0001466325 scopus 로고
    • Sur la structure des groupes infinis de transformations
    • French
    • _, Sur la structure des groupes infinis de transformations, Ann. Sci. École Norm. Sup, 21 (1904), no. 3, 153-206 (French).
    • (1904) Ann. Sci. École Norm. Sup. , vol.21 , Issue.3 , pp. 153-206
  • 4
    • 0011300292 scopus 로고
    • Pseudo-groupes continus infinis
    • Colloques Internationaux du Centre National de la Recherche Scientifique, Strasbourg, Centre National de la Recherche Scientifique, Paris
    • S.-S. Chern, Pseudo-groupes continus infinis, Géométrie Différentielle, Colloques Internationaux du Centre National de la Recherche Scientifique, Strasbourg, vol. 1953, Centre National de la Recherche Scientifique, Paris, 1953, reprinted in S.-S. Chern, Selected papers, Springer-Verlag, 1978, pp. 119-136 (French).
    • (1953) Géométrie Différentielle , vol.1953
    • Chern, S.-S.1
  • 5
    • 3042858287 scopus 로고    scopus 로고
    • reprinted in S.-S. Chern, Selected papers, Springer-Verlag, 1978, pp. 119-136 (French)
    • S.-S. Chern, Pseudo-groupes continus infinis, Géométrie Différentielle, Colloques Internationaux du Centre National de la Recherche Scientifique, Strasbourg, vol. 1953, Centre National de la Recherche Scientifique, Paris, 1953, reprinted in S.-S. Chern, Selected papers, Springer-Verlag, 1978, pp. 119-136 (French).
  • 6
    • 0041293688 scopus 로고
    • An algebraic model of transitive differential geometry
    • V. W. Guillemin and S. Sternberg, An algebraic model of transitive differential geometry, Bull. Amer. Math. Soc. 70 (1964), 16-47.
    • (1964) Bull. Amer. Math. Soc. , vol.70 , pp. 16-47
    • Guillemin, V.W.1    Sternberg, S.2
  • 7
    • 0031161455 scopus 로고    scopus 로고
    • Abstract structure for Lie pseudogroups
    • N. Kamran and T. Robart, Abstract structure for Lie pseudogroups, C. R. Acad. Sci. Paris Sér. I Math. 324 (1997), no. 12, 1395-1399.
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , Issue.12 , pp. 1395-1399
    • Kamran, N.1    Robart, T.2
  • 8
    • 0031280694 scopus 로고    scopus 로고
    • Perspectives sur la theorie des pseudogroupes de transformations analytiques de type infini
    • French
    • _, Perspectives sur la theorie des pseudogroupes de transformations analytiques de type infini [Perspectives on the theory of pseudogroups of analytic transformations of infinite type], J. Geom. Phys. 23 (1997), no. 3-4, 308-318 (French).
    • (1997) J. Geom. Phys. , vol.23 , Issue.3-4 , pp. 308-318
  • 9
    • 0034407429 scopus 로고    scopus 로고
    • On the parametrization problem of Lie pseudogroups of infinite type
    • _, On the parametrization problem of Lie pseudogroups of infinite type, C. R. Acad. Sci. Paris Sér. I Math. 331 (2000), no. 11, 899-903.
    • (2000) C. R. Acad. Sci. Paris Sér. I Math. , vol.331 , Issue.11 , pp. 899-903
  • 10
    • 0002520541 scopus 로고    scopus 로고
    • A manifold structure for analytic isotropy Lie pseudogroups of infinite type
    • _, A manifold structure for analytic isotropy Lie pseudogroups of infinite type, J. Lie Theory 11 (2001), no. 1, 57-80.
    • (2001) J. Lie Theory , vol.11 , Issue.1 , pp. 57-80
  • 11
    • 3042735072 scopus 로고
    • Lie equations. Vol. I: General Theory
    • Princeton University Press, New Jersey
    • A. Kumpera and D. Spencer, Lie equations. Vol. I: General Theory, Annals of Mathematics Studies, no. 73, Princeton University Press, New Jersey, 1972.
    • (1972) Annals of Mathematics Studies , Issue.73
    • Kumpera, A.1    Spencer, D.2
  • 12
    • 0003204775 scopus 로고
    • On the group of real analytic diffeomorphisms of a compact real analytic manifold
    • J. Leslie, On the group of real analytic diffeomorphisms of a compact real analytic manifold, Trans. Amer. Math. Soc. 274 (1982), no. 2, 651-669.
    • (1982) Trans. Amer. Math. Soc. , vol.274 , Issue.2 , pp. 651-669
    • Leslie, J.1
  • 13
    • 84972494479 scopus 로고
    • Equations de Lie. I
    • French
    • B. Malgrange, Equations de Lie. I, J. Differential Geom. 6 (1972), 503-522 (French).
    • (1972) J. Differential Geom. , vol.6 , pp. 503-522
    • Malgrange, B.1
  • 14
    • 84972500274 scopus 로고
    • Equations de Lie. II
    • French
    • _, Equations de Lie. II, J. Differential Geom. 7 (1972), 117-141 (French).
    • (1972) J. Differential Geom. , vol.7 , pp. 117-141
  • 15
    • 0001335921 scopus 로고
    • Remarks on infinite-dimensional Lie groups
    • Les Houches, North-Holland Publishing, Amsterdam
    • J. Milnor, Remarks on infinite-dimensional Lie groups, Relativity, Groups and Topology, II (Les Houches, 1983), North-Holland Publishing, Amsterdam, 1984, pp. 1007-1057.
    • (1983) Relativity, Groups and Topology, II , pp. 1007-1057
    • Milnor, J.1
  • 16
    • 21444446573 scopus 로고    scopus 로고
    • Non-associative local Lie groups
    • P. Olver, Non-associative local Lie groups, J. Lie Theory 6 (1996), no. 1, 23-51.
    • (1996) J. Lie Theory , vol.6 , Issue.1 , pp. 23-51
    • Olver, P.1
  • 19
    • 0347245055 scopus 로고    scopus 로고
    • Sur la théorie locale des pseudogroupes de transformations continus infinis. I
    • French
    • T. Robart and N. Kamran, Sur la théorie locale des pseudogroupes de transformations continus infinis. I [Local theory of infinite-dimensional continuous transformation pseudogroups. 1], Math. Ann. 308 (1997), no. 4, 593-613 (French).
    • (1997) Math. Ann. , vol.308 , Issue.4 , pp. 593-613
    • Robart, T.1    Kamran, N.2
  • 20
    • 51649131754 scopus 로고
    • The infinite groups of Lie and Cartan. I. The transitive groups
    • I. M. Singer and S. Sternberg, The infinite groups of Lie and Cartan. I. The transitive groups, J. Analyse Math. 15 (1965), 1-114.
    • (1965) J. Analyse Math. , vol.15 , pp. 1-114
    • Singer, I.M.1    Sternberg, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.