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Volumn 23, Issue 1, 2003, Pages 53-63

Smooth Perfectness through Decomposition of Diffeomorphisms into Fiber Preserving Ones

Author keywords

Cartesian closedness; Groups of diffeomorphisms; Hard inverse function theorem; Perfectness; Smooth decomposition

Indexed keywords


EID: 0037212831     PISSN: 0232704X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021280213742     Document Type: Article
Times cited : (20)

References (10)
  • 1
    • 51249181288 scopus 로고
    • ∞-diffeomorphisms. Appendix to 'A curious remark concerning the geometric transfer map' by John N. Mather
    • ∞-diffeomorphisms. Appendix to 'A curious remark concerning the geometric transfer map' by John N. Mather, Comment. Math. Helv. 59 (1984), 111-122.
    • (1984) Comment. Math. Helv , vol.59 , pp. 111-122
    • Epstein, D.B.A.1
  • 2
    • 84966236065 scopus 로고
    • The inverse function theorem of Nash and Moser
    • Hamilton, R. S.: The inverse function theorem of Nash and Moser, Bull. (New Series) Amer Math. Soc. 7(1) (1982), 65-222.
    • (1982) Bull. (New Series) Amer. Math. Soc. , vol.7 , Issue.1 , pp. 65-222
    • Hamilton, R.S.1
  • 3
    • 0001770316 scopus 로고
    • Sur le groupe des difféomorphismes du tore
    • Herman, M. R.: Sur le groupe des difféomorphismes du tore, Ann. Inst. Fourier 23(2) (1973), 75-86.
    • (1973) Ann. Inst. Fourier , vol.23 , Issue.2 , pp. 75-86
    • Herman, M.R.1
  • 5
    • 51249188609 scopus 로고
    • Commutators of diffeomorphisms
    • Mather, J. N.: Commutators of diffeomorphisms, Comment. Math. Helv. 49 (1974), 512-528.
    • (1974) Comment. Math. Helv. , vol.49 , pp. 512-528
    • Mather, J.N.1
  • 6
    • 51249191866 scopus 로고
    • Commutators of diffeomorphisms. II
    • Mather, J. N.: Commutators of diffeomorphisms. II, Comment. Math. Helv. 50 (1975), 33-40.
    • (1975) Comment. Math. Helv. , vol.50 , pp. 33-40
    • Mather, J.N.1
  • 7
    • 0007310980 scopus 로고    scopus 로고
    • Transl. Math. Monographs 158, American Mathematical Society, Providence, RI
    • Omori, H.: Infinite-Dimensional Lie Groups, Transl. Math. Monographs 158, American Mathematical Society, Providence, RI, 1997.
    • (1997) Infinite-Dimensional Lie Groups
    • Omori, H.1
  • 8
    • 0346800814 scopus 로고
    • The identity component of the leaf preserving diffeomorphism group is perfect
    • Rybicki, T.: The identity component of the leaf preserving diffeomorphism group is perfect, Monatsh. Math. 120 (1995), no. 3-4, 289-305.
    • (1995) Monatsh. Math. , vol.120 , Issue.3-4 , pp. 289-305
    • Rybicki, T.1
  • 9
    • 0442320612 scopus 로고    scopus 로고
    • Regularity of infinte dimensional Lie groups by metric space methods
    • Teichmann, J.: Regularity of infinte dimensional Lie groups by metric space methods, Tokyo J. Math. 24(1) (2001), 39-58.
    • (2001) Tokyo J. Math. , vol.24 , Issue.1 , pp. 39-58
    • Teichmann, J.1
  • 10
    • 0002374631 scopus 로고
    • Foliations and groups of diffeomorphisms
    • Thurston, W.: Foliations and groups of diffeomorphisms, Bull. Amer. Math. Soc. 80 (1974), 304-307.
    • (1974) Bull. Amer. Math. Soc. , vol.80 , pp. 304-307
    • Thurston, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.