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Some geometric aspects of the nonlinear O(3) sigma-model in the dimension (2+0)

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Abstract

On the basis of the gauge equivalence between an elliptic analog of the O(3) sigma-model and thesinh-Gordon equation proved by the author, connection formulas are obtained. Their interpretation in terms of differential geometry is given. Bibliography: 9 titles.

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Literature Cited

  1. L. D. Faddeev and L. A. Takhtajan,Hamiltonian Methods in the Theory of Solutions, Springer, Berlin (1986).

    Google Scholar 

  2. E. Sh. Gutshabash and V. D. Lipovskii,Teor. Mat. Fiz.,90, No. 2, 259–272 (1992).

    MathSciNet  Google Scholar 

  3. E. Sh. Gutshabash,Vest. LGU, Ser. Fiz, Khim., No. 4, 84–86 (1990).

    MathSciNet  Google Scholar 

  4. A. I. Bobenko,Usp. Mat. Nauk,46, No. 4, 3–41 (1992).

    MathSciNet  Google Scholar 

  5. D. Montgomery and G. Joyce,Phys. Fluids,17, No. 6, 1139–1145 (1974).

    Article  MathSciNet  Google Scholar 

  6. B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko,The Modern Geometry [in Russian], Moscow (1986).

  7. K. Pohlmeyer,Commun. Math. Phys.,46, 207–221 (1976).

    Article  MATH  MathSciNet  Google Scholar 

  8. A. M. Perelomov,Usp. Fiz. Nauk,134, No. 4, 577–609 (1981).

    MathSciNet  Google Scholar 

  9. A. A. Belavin and A. M. Polyakov,Pis'ma Zh. Eksp. Teor. Fiz.,22, No. 10, 506–510 (1975).

    Google Scholar 

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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 209, 1994, pp. 20–27.

Translated by E. Sh. Gutshabash.

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Gutshabash, E.S. Some geometric aspects of the nonlinear O(3) sigma-model in the dimension (2+0). J Math Sci 83, 11–15 (1997). https://doi.org/10.1007/BF02398457

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  • DOI: https://doi.org/10.1007/BF02398457

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