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Volumn 12, Issue 10, 2006, Pages 983-995

Integrable systems in n-dimensional conformal geometry

Author keywords

Hamiltonian operator; Hasimoto transformation; Riemannian case; Standard Euclidean

Indexed keywords


EID: 33750534766     PISSN: 10236198     EISSN: 15635120     Source Type: Journal    
DOI: 10.1080/10236190600986784     Document Type: Article
Times cited : (4)

References (14)
  • 1
    • 29544443226 scopus 로고    scopus 로고
    • Integrable systems in n-dimensional Riemannian geometry
    • Sanders, J.A. and Wang, J.P., 2003, Integrable systems in n-dimensional Riemannian geometry. Moscow Mathematical Journal, 3(4), 1369-1393.
    • (2003) Moscow Mathematical Journal , vol.3 , Issue.4 , pp. 1369-1393
    • Sanders, J.A.1    Wang, J.P.2
  • 2
    • 2042467083 scopus 로고    scopus 로고
    • Generalized Hasimoto transformation and vector Sine-Gordon equation
    • S. Abenda, G. Gaeta and S. Walcher (Eds.) (Singapore: World Scientific)
    • Wang, J.P., 2003, Generalized Hasimoto transformation and vector Sine-Gordon equation. In: S. Abenda, G. Gaeta and S. Walcher (Eds.) Symmetry and Perturbation Theory, SPT 2002 (Singapore: World Scientific).
    • (2003) Symmetry and Perturbation Theory, SPT 2002
    • Wang, J.P.1
  • 4
    • 0003345224 scopus 로고
    • Applications of lie groups to differential equations
    • New York, NY: Springer-Verlag
    • Olver, P.J., 1993, Applications of lie groups to differential equations. Graduate Texts in Mathematics, 2nd ed. (New York, NY: Springer-Verlag), Vol. 107.
    • (1993) Graduate Texts in Mathematics, 2nd Ed. , vol.107
    • Olver, P.J.1
  • 6
    • 36749117832 scopus 로고
    • A simple model of integrable Hamiltonian equation
    • Magri, F., 1978, A simple model of integrable Hamiltonian equation. Journal of Mathematical Physics, 19(5), 1156-1162.
    • (1978) Journal of Mathematical Physics , vol.19 , Issue.5 , pp. 1156-1162
    • Magri, F.1
  • 7
    • 22544459903 scopus 로고    scopus 로고
    • Poisson brackets associated to the conformal geometry of curves
    • Beffa, G.M., 2003, Poisson brackets associated to the conformal geometry of curves, Transactions of the American Mathematical Society, 357(7), 2799-2827.
    • (2003) Transactions of the American Mathematical Society , vol.357 , Issue.7 , pp. 2799-2827
    • Beffa, G.M.1
  • 9
    • 0003634901 scopus 로고    scopus 로고
    • (New York, NY: Springer-Verlag) Cartan's generalization of Klein's Erlangen program, With a foreword by S. S. Chern
    • Sharpe, R.W., 1997, Differential Geometry (New York, NY: Springer-Verlag) Cartan's generalization of Klein's Erlangen program, With a foreword by S. S. Chern.
    • (1997) Differential Geometry
    • Sharpe, R.W.1
  • 10
    • 33750567403 scopus 로고    scopus 로고
    • Corrigenda: "Conformal analogue of the Adler-Gel' fand-Dikii bracket in two dimensions
    • Beffa, G.M., 2000, Corrigenda: "Conformal analogue of the Adler-Gel' fand-Dikii bracket in two dimensions. Journal of Physics A, 33(47), 8601.
    • (2000) Journal of Physics A , vol.33 , Issue.47 , pp. 8601
    • Beffa, G.M.1
  • 11
    • 0013097341 scopus 로고    scopus 로고
    • Integrable systems in three-dimensional Riemannian geometry
    • Beffa, G.M., Sanders, J.A. and Wang, J.P., 2002, Integrable systems in three-dimensional Riemannian geometry. Journal of Nonlinear Science, 12(2), 143-167.
    • (2002) Journal of Nonlinear Science , vol.12 , Issue.2 , pp. 143-167
    • Beffa, G.M.1    Sanders, J.A.2    Wang, J.P.3
  • 14
    • 22544441216 scopus 로고    scopus 로고
    • Completely integrable curve flows on adjoint orbits
    • Dedicated to Shiing-Shen Chern on his 90th birthday
    • Terng, C.-L. and Thorbergsson, G., 2001, Completely integrable curve flows on adjoint orbits. Results in Mathematics, 40(1-4), 286-309. Dedicated to Shiing-Shen Chern on his 90th birthday.
    • (2001) Results in Mathematics , vol.40 , Issue.1-4 , pp. 286-309
    • Terng, C.-L.1    Thorbergsson, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.