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Volumn 177, Issue 1, 1996, Pages 203-220

Surfaces on Lie groups, on Lie algebras, and their integrability

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Indexed keywords


EID: 0030529761     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02102436     Document Type: Article
Times cited : (78)

References (24)
  • 1
    • 0001912072 scopus 로고
    • Differential geometry in the large
    • Berlin, Heidelberg, New York: Springer
    • Hopf, H.: Differential Geometry in the Large. Lect. Notes Math., Vol. 1000, Berlin, Heidelberg, New York: Springer, 1983
    • (1983) Lect. Notes Math. , vol.1000
    • Hopf, H.1
  • 2
    • 84972553986 scopus 로고
    • Counterexample to a conjecture of H. Hopf
    • Wente, H.C.: Counterexample to a Conjecture of H. Hopf. Pac. J. Math. 121, 193-243 (1986)
    • (1986) Pac. J. Math. , vol.121 , pp. 193-243
    • Wente, H.C.1
  • 3
    • 0000830610 scopus 로고
    • Constant mean curvature Tori in terms of elliptic functions
    • Abresch, U.: Constant Mean Curvature Tori in Terms of Elliptic Functions. J. Reine Angew. Math. 394, 169-192 (1987)
    • (1987) J. Reine Angew. Math. , vol.394 , pp. 169-192
    • Abresch, U.1
  • 4
    • 0002091412 scopus 로고
    • The elliptic Sinh-Gordon equation and the construction of toroidal soap bubbles
    • Hildebrandt, S., Kinderlehrer, D., Miranda, M. (eds.) Calculus of Variations and Partial Differential Equations. Proceedings, Tronto 1986, Berlin, Heidelberg, New York: Springer
    • Spruck, J.: The Elliptic Sinh-Gordon Equation and the Construction of Toroidal Soap Bubbles. In: Hildebrandt, S., Kinderlehrer, D., Miranda, M. (eds.) Calculus of Variations and Partial Differential Equations. Proceedings, Tronto 1986, Lect. Notes Math., Vol. 1340, Berlin, Heidelberg, New York: Springer, 1988, pp. 273-301
    • (1988) Lect. Notes Math. , vol.1340 , pp. 273-301
    • Spruck, J.1
  • 5
    • 0000925540 scopus 로고
    • Explicit examples to the H-problem of Heinz Hopf
    • Walter, R.: Explicit Examples to the H-Problem of Heinz Hopf. Geom. Dedicate 23, 187-213 (1987)
    • (1987) Geom. Dedicate , vol.23 , pp. 187-213
    • Walter, R.1
  • 6
    • 0002100176 scopus 로고
    • 3
    • Tromba, A. (ed.) Seminar on New Results in Nonlinear Partial Differential Equations, Braunschweig Wiesbaden: Vieweg
    • 3. In: Tromba, A. (ed.) Seminar on New Results in Nonlinear Partial Differential Equations, Aspects Math. Vol. E10, Braunschweig Wiesbaden: Vieweg, 1987, pp. 1-36
    • (1987) Aspects Math. , vol.E10 , pp. 1-36
    • Wente, H.C.1
  • 7
    • 0000784824 scopus 로고
    • On the classification of constant mean curvature Tori
    • Pinkall, U., Sterling, I.: On the Classification of Constant Mean Curvature Tori. Ann. Math. 130, 407-451 (1989)
    • (1989) Ann. Math. , vol.130 , pp. 407-451
    • Pinkall, U.1    Sterling, I.2
  • 8
    • 0002389150 scopus 로고
    • Integrable surfaces
    • Bobenko, A.I.: Integrable Surfaces. Funkts. Anal. Prilozh. 24 (3), 68-69 (1990)
    • (1990) Funkts. Anal. Prilozh. , vol.24 , Issue.3 , pp. 68-69
    • Bobenko, A.I.1
  • 9
    • 18444388780 scopus 로고
    • Old and new Periodic solutions of the Sinh-Gordon equation
    • Tromba, A. (ed.) Seminar on New Results in Nonlinear Partial Differential Equations, Braunschweig Wiesbaden: Vieweg
    • Abresch, U.: Old and New Periodic Solutions of the Sinh-Gordon Equation. In: Tromba, A. (ed.) Seminar on New Results in Nonlinear Partial Differential Equations, Aspects Math. Vol. E10, Braunschweig Wiesbaden: Vieweg, 1987, pp. 37-73
    • (1987) Aspects Math. , vol.E10 , pp. 37-73
    • Abresch, U.1
  • 10
    • 84972507643 scopus 로고
    • Harmonic maps from a 2-Torus to the 3-Sphere
    • Hitchin, N.S.: Harmonic Maps from a 2-Torus to the 3-Sphere. J. Diff. Geom. 31, 627-710 (1990)
    • (1990) J. Diff. Geom. , vol.31 , pp. 627-710
    • Hitchin, N.S.1
  • 13
    • 0003061298 scopus 로고
    • Surfaces in terms of 2 by 2 matrices, old and new integrable cases
    • Harmonic Maps and Integrable Systems, Fordy, A.P., Wood, J.C. (eds.), Vieweg
    • Bobenko, A.I.: Surfaces in Terms of 2 by 2 Matrices, Old and New Integrable Cases. In: Harmonic Maps and Integrable Systems, Fordy, A.P., Wood, J.C. (eds.), Aspects of Mathematics, Vieweg, 1994
    • (1994) Aspects of Mathematics
    • Bobenko, A.I.1
  • 15
    • 0003241821 scopus 로고
    • Solitons and the inverse scattering transformation
    • Philadelphia: SIAM
    • Ablowitz, M.J., Segur, H.: Solitons and the Inverse Scattering Transformation. SIAM Stud. Appl. Mat. 4, Philadelphia: SIAM, 1981
    • (1981) SIAM Stud. Appl. Mat. , vol.4
    • Ablowitz, M.J.1    Segur, H.2
  • 20
    • 0000315041 scopus 로고
    • Soliton surfaces and their applications (Soliton geometry from spectral problems)
    • Geometrical Aspects of the Einstein Equations and Integrable Systems, Berlin, Heidelberg, New York: Springer
    • Sym, A.: Soliton Surfaces and Their Applications (Soliton Geometry from Spectral Problems). In: Geometrical Aspects of the Einstein Equations and Integrable Systems, Lect. Notes Phys., Vol. 239, Berlin, Heidelberg, New York: Springer, 1985, pp. 154-231
    • (1985) Lect. Notes Phys. , vol.239 , pp. 154-231
    • Sym, A.1
  • 23
    • 84972552696 scopus 로고
    • On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
    • Griffiths, P.: On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry. Duke Math. J. (1974)
    • (1974) Duke Math. J.
    • Griffiths, P.1


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