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Volumn 22, Issue 1, 2012, Pages 202-212

Geodesics On The Symplectomorphism Group

Author keywords

almost complex structure; Diffeomorphism; geodesic; global existence of solutions; Hilbert manifold; Hodge decomposition; Noether's theorem; Picard iteration; spray; submersion; symplectic manifold; symplectomorphism; weak Riemannian metric

Indexed keywords


EID: 84858859764     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-012-0150-2     Document Type: Article
Times cited : (20)

References (13)
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    • Arnol'd, V.I.1
  • 4
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    • Ebin D. G.: A concise presentation of the Euler equations of hydrodynamics, Comm. in Part. Diff. Eq. 9, 539-559 (1984).
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    • Ebin, D.G.1
  • 5
    • 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, 102-163 (1970).
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    • Ebin, D.G.1    Marsden, J.2
  • 6
    • 33749039688 scopus 로고    scopus 로고
    • Singularities of the exponential map on the volume-preserving diffeomorphism group
    • Ebin D. G., Misiołek G., Preston S.: Singularities of the exponential map on the volume-preserving diffeomorphism group. Geom. Funct. Anal 16(4), 850-868 (2006).
    • (2006) Geom. Funct. Anal , vol.16 , Issue.4 , pp. 850-868
    • Ebin, D.G.1    Misiołek, G.2    Preston, S.3
  • 7
    • 78649587374 scopus 로고    scopus 로고
    • The geodesic Vlasov equation and its integrable moment closures
    • Holm D. D., Tronci C.: The geodesic Vlasov equation and its integrable moment closures, J. Geom. Mech. 2, 181-208 (2009).
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    • Holm, D.D.1    Tronci, C.2
  • 8
    • 34250521951 scopus 로고
    • On classical solutions of the two dimensional non-stationary Euler equation
    • Kato T.: On classical solutions of the two dimensional non-stationary Euler equation, Arch. for Rat. Mech. and Analysis 25, 188-200 (1967).
    • (1967) Arch. For Rat. Mech. And Analysis , vol.25 , pp. 188-200
    • Kato, T.1
  • 11
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    • On the volume elements of a manifold
    • Moser J.: On the volume elements of a manifold, Trans. Am. Math Soc. 120, 286-294 (1965).
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    • Moser, J.1
  • 13
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    • Un théorème sur l'existence de movement plan d'un fluide parfait, homogène, incompressible pendent un temps infiniment longue
    • Wolibner W.: Un théorème sur l'existence de movement plan d'un fluide parfait, homogène, incompressible pendent un temps infiniment longue. Math. Z. 37, 698-726 (1933).
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    • Wolibner, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.