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Documenta Mathematica
Volumn 10, Issue 1, 2005, Pages 217-245
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms
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EID: 29244431608     PISSN: 14310635     EISSN: 14310635     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (196)
References (15)
  • 1
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    • Sur la géometrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits
    • V.I. Arnold. Sur la géometrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits. Ann. Inst. Fourier 16 (1966), 319-361.
    • (1966) Ann. Inst. Fourier , vol.16 , pp. 319-361
    • Arnold, V.I.1
  • 2
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    • A mathematical model illustrating the theory of turbulence
    • J. Burgers. A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. 1 (1948), 171-199.
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    • Burgers, J.1
  • 3
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solutions
    • R. Camassa and D. Holm. An integrable shallow water equation with peaked solutions. Phys. Rev. Lett. 71 (1993), 1661-1664.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.2
  • 4
    • 38149143475 scopus 로고
    • The orbit structure of the action of the diffeomorphism group on the space of immersions
    • Vicente Cervera, Francisca Mascaro, and Peter W. Michor. The orbit structure of the action of the diffeomorphism group on the space of immersions. Diff. Geom. Appl., 1 (1991), 391-401.
    • (1991) Diff. Geom. Appl. , vol.1 , pp. 391-401
    • Cervera, V.1    Mascaro, F.2    Michor, P.W.3
  • 5
    • 0010862863 scopus 로고
    • The simplicity of certain groups of homeomorphisms
    • D.B.A. Epstein. The simplicity of certain groups of homeomorphisms. Compositio Math. 22 (1970), 165-173.
    • (1970) Compositio Math. , vol.22 , pp. 165-173
    • Epstein, D.B.A.1
  • 7
    • 25444492413 scopus 로고
    • A metric on the manifold of immersions and its Riemannian curvature
    • Gerd Kainz. A metric on the manifold of immersions and its Riemannian curvature. Monatsh. Math., 98 (1984), 211-217.
    • (1984) Monatsh. Math. , vol.98 , pp. 211-217
    • Kainz, G.1
  • 9
    • 51249188609 scopus 로고
    • Commutators of diffeomorphisms I, II
    • John N. Mather. Commutators of diffeomorphisms I, II. Comm. Math. Helv. 49 (1974), 512-528;
    • (1974) Comm. Math. Helv. , vol.49 , pp. 512-528
    • Mather, J.N.1
  • 10
    • 85161733341 scopus 로고
    • Comm. Math. Helv.,ibid,50 (1975), 33-40.
    • (1975) Comm. Math. Helv. , vol.50 , pp. 33-40
  • 12
    • 22444453467 scopus 로고    scopus 로고
    • Geometry of the virasoro-bott group
    • arXiv:math.DG/9801115
    • Peter W. Michor and Tudor Ratiu. Geometry of the Virasoro-Bott group. J. Lie Theory, 8 (1998), 293-309. arXiv:math.DG/9801115
    • (1998) J. Lie Theory , vol.8 , pp. 293-309
    • Michor, P.W.1    Ratiu, T.2
  • 13
    • 0031989845 scopus 로고    scopus 로고
    • A shallow water equation as a geodesic flow on the bott-virasoro group
    • G. Misiołek. A shallow water equation as a geodesic flow on the Bott-Virasoro group. J. Geom. Phys. 24 (1998), 203-208.
    • (1998) J. Geom. Phys. , vol.24 , pp. 203-208
    • Misiołek, G.1
  • 14
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    • On the existence of slices for actions of non-compact Lie groups
    • Richard Palais. On the existence of slices for actions of non-compact Lie groups. Ann. of Math. 73 (1961), 295-323.
    • (1961) Ann. of Math. , vol.73 , pp. 295-323
    • Palais, R.1
  • 15
    • 0002374631 scopus 로고
    • Foliations and groups of diffeomorphisms
    • William Thurston. Foliations and groups of diffeomorphisms. Bull. AMS 80 (1974), 304-307.
    • (1974) Bull. AMS , vol.80 , pp. 304-307
    • Thurston, W.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.