메뉴 건너뛰기




Volumn 37, Issue 3, 2003, Pages 191-202

Inductive Limits of Area-Preserving Diffeomorphism Groups

Author keywords

Central extension; Diffeomorphism group; Inductive limit

Indexed keywords


EID: 1642541646     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026032600201     Document Type: Article
Times cited : (5)

References (13)
  • 1
    • 84862035343 scopus 로고
    • Société Mathématique de France, Paris
    • 2, Société Mathématique de France, Paris, 1977.
    • (1977) 2
    • Serre, J.-P.1
  • 2
    • 0002538008 scopus 로고
    • Problems in Analysis
    • Princeton University Press, Princeton, NY
    • E. Calabi, "Problems in Analysis," In: Symp. in Honor of S. Bochner, Princeton University Press, Princeton, NY, 1970, pp. 1-26.
    • (1970) Symp. in Honor of S. Bochner , pp. 1-26
    • Calabi, E.1
  • 3
    • 1642548694 scopus 로고
    • On the one-dimensional cohomology of the Lie algebra of divergence-free vector fields and the winding numbers of dynamical systems
    • V. I. Arnold, "On the one-dimensional cohomology of the Lie algebra of divergence-free vector fields and the winding numbers of dynamical systems," Funkts. Anal. Prilozhen., 3, No. 4, 77-78 (1969).
    • (1969) Funkts. Anal. Prilozhen. , vol.3 , Issue.4 , pp. 77-78
    • Arnold, V.I.1
  • 4
    • 51249186674 scopus 로고
    • Sur la structure du groupe des difféomorphismes qui preservent une form symplectique
    • A. Banyaga, "Sur la structure du groupe des difféomorphismes qui preservent une form symplectique," Comment. Math. Helv., 53, No. 2, 174-227 (1978).
    • (1978) Comment. Math. Helv. , vol.53 , Issue.2 , pp. 174-227
    • Banyaga, A.1
  • 5
    • 51249183421 scopus 로고
    • The homology of some groups of diffeomorphisms
    • D. McDuff, "The homology of some groups of diffeomorphisms," Comment. Math. Helv., 55, 97-129 (1980).
    • (1980) Comment. Math. Helv. , vol.55 , pp. 97-129
    • McDuff, D.1
  • 7
    • 0030697545 scopus 로고    scopus 로고
    • Extensions and contractions of the Lie algebra of q-pseudodifferential symbols on the circle
    • B. Khesin, V. Lyubashenko, and C. Roger, "Extensions and contractions of the Lie algebra of q-pseudodifferential symbols on the circle," J. Funct. Anal., 143, No. 1, 55-97 (1997).
    • (1997) J. Funct. Anal. , vol.143 , Issue.1 , pp. 55-97
    • Khesin, B.1    Lyubashenko, V.2    Roger, C.3
  • 8
    • 0038351154 scopus 로고
    • Local and global groups
    • W. T. Van Est, "Local and global groups," Indag. Math., 24, 391-425 (1962).
    • (1962) Indag. Math. , vol.24 , pp. 391-425
    • Van Est, W.T.1
  • 9
    • 84968494100 scopus 로고
    • On the volume elements on a manifold
    • J. Moser, "On the volume elements on a manifold," Trans. Amer. Math. Soc., 120, 286-294 (1965).
    • (1965) Trans. Amer. Math. Soc. , vol.120 , pp. 286-294
    • Moser, J.1
  • 10
    • 84868360689 scopus 로고
    • Extension of volume-preserving diffeomorphisms
    • A. B. Krygin, "Extension of volume-preserving diffeomorphisms, " Funkts. Anal. Prilozhen., 5, No. 2, 72-76 (1971).
    • (1971) Funkts. Anal. Prilozhen. , vol.5 , Issue.2 , pp. 72-76
    • Krygin, A.B.1
  • 11
    • 84968494130 scopus 로고
    • The diffeomorphism group of a compact Riemann surface
    • C. J. Earle and J. Eells, Jr., "The diffeomorphism group of a compact Riemann surface," Bull. Amer. Math. Soc., 73, 557-559 (1967).
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 557-559
    • Earle, C.J.1    Eells Jr., J.2
  • 12
    • 0001106229 scopus 로고
    • On the group of volume-preserving diffeomorphisms
    • R. S. Ismagilov, On the group of volume-preserving diffeomorphisms, Izv. Akad. Nauk SSSR, 44, No. 4, 831-867 (1980).
    • (1980) Izv. Akad. Nauk SSSR , vol.44 , Issue.4 , pp. 831-867
    • Ismagilov, R.S.1
  • 13
    • 0002412351 scopus 로고    scopus 로고
    • Examples of explicit calculation of the inductive limit of a family of Lie algebras
    • R. S. Ismagilov, Examples of explicit calculation of the inductive limit of a family of Lie algebras, Mat. Sb., 191, No. 3, 53-64 (2000).
    • (2000) Mat. Sb. , vol.191 , Issue.3 , pp. 53-64
    • Ismagilov, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.