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Volumn 31, Issue 1, 2000, Pages 9-27

Topological lower bounds on the distance between area preserving diffeomorphisms

Author keywords

Area preserving maps; Group of diffeomorphisms; Invariant metric; Topological invariant

Indexed keywords


EID: 0004467740     PISSN: 16787544     EISSN: 16787714     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (14)

References (13)
  • 1
    • 0000866621 scopus 로고
    • The asymptotic Hopf invariant and its applications
    • ARNOLD, V.I.: The asymptotic Hopf invariant and its applications, Sci. Math. Sov. 5, (1986), 327-345.
    • (1986) Sci. Math. Sov. , vol.5 , pp. 327-345
    • Arnold, V.I.1
  • 3
    • 5844240816 scopus 로고
    • Energy-Crossing Number for Braided Magnetic Fields
    • BERGER, M. A.: Energy-Crossing Number for Braided Magnetic Fields, Phys. Rev. Let. 70, (1993), 705-708.
    • (1993) Phys. Rev. Let. , vol.70 , pp. 705-708
    • Berger, M.A.1
  • 4
    • 0003316111 scopus 로고
    • Braids, Links and Mapping Class Groups
    • Princeton University Press
    • BIRMAN, J. Braids, Links and Mapping Class Groups. Annals of Math. Studies 82, Princeton University Press, (1974).
    • (1974) Annals of Math. Studies , vol.82
    • Birman, J.1
  • 5
    • 0002538008 scopus 로고
    • On the group of automorphisms of a symplectic manifold
    • Symposium in honor of S. Bochner, R. C. Gunning, Ed., Princeton Uni. Press, Princeton
    • CALABI, E.: On the group of automorphisms of a symplectic manifold, Problems in analysis, Symposium in honor of S. Bochner, R. C. Gunning, Ed., Princeton Uni. Press, Princeton (1970), 1-26.
    • (1970) Problems in Analysis , pp. 1-26
    • Calabi, E.1
  • 6
    • 0001052255 scopus 로고
    • Groups of diffeomorphisms and the motion of an incompressible fluid
    • EBIN, D. G. & MARSDEN, J.: Groups of diffeomorphisms and the motion of an incompressible fluid, Ann. of Math. 92, (1970), 102-163.
    • (1970) Ann. of Math. , vol.92 , pp. 102-163
    • Ebin, D.G.1    Marsden, J.2
  • 7
    • 27144479656 scopus 로고
    • The diameter of the symplectomorphism group is infinite
    • ELIASHBERG, YAH. & RATIU, T.: The diameter of the symplectomorphism group is infinite, Invent. Math. 103, (1991), 327-340.
    • (1991) Invent. Math. , vol.103 , pp. 327-340
    • Eliashberg, Y.A.H.1    Ratiu, T.2
  • 9
    • 0001723178 scopus 로고
    • Divergence-free fields: Energy and asymptotic crossing number
    • FREEDMAN, M. H. & HE, Z.-X.: Divergence-free fields: energy and asymptotic crossing number, Annals of Math. 134, (1991), 189-229.
    • (1991) Annals of Math. , vol.134 , pp. 189-229
    • Freedman, M.H.1    He, Z.-X.2
  • 10
    • 0031280927 scopus 로고    scopus 로고
    • Enlacement asymptotique
    • GAMBAUDO, J.-M. & GHYS, É.: Enlacement asymptotique, Topology 36, (1997), 1355-1379.
    • (1997) Topology , vol.36 , pp. 1355-1379
    • Gambaudo, J.-M.1    Ghys, É.2
  • 11
    • 0003791193 scopus 로고    scopus 로고
    • Translated from the 1993 Japanese original by Bohdan Kurpita. Birkhäuser Boston, Inc., Boston
    • MURASUGI, K. Knot theory and its applications. Translated from the 1993 Japanese original by Bohdan Kurpita. Birkhäuser Boston, Inc., Boston, (1996).
    • (1996) Knot Theory and Its Applications
    • Murasugi, K.1
  • 12
    • 0002479515 scopus 로고
    • The geometry of the group of diffeomorphisms and the dynamics of an ideal incompressible fluid
    • SHNIRELMAN, A.: The geometry of the group of diffeomorphisms and the dynamics of an ideal incompressible fluid, Matem. Sbornik 128, (1985), 82-109;
    • (1985) Matem. Sbornik , vol.128 , pp. 82-109
    • Shnirelman, A.1
  • 13
    • 27144509941 scopus 로고
    • English transl: Math. USSR, Sbornik 56 (1987), 79-105.
    • (1987) Math. USSR, Sbornik , vol.56 , pp. 79-105


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.