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Funktsional'nyi Analiz i ego Prilozheniya, 1998, Volume 32, Issue 4, Pages 49–62
DOI: https://doi.org/10.4213/faa437
(Mi faa437)
 

This article is cited in 42 scientific papers (total in 43 papers)

The Weierstrass Representation of Closed Surfaces in R3

I. A. Taimanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Received: 30.12.1997
English version:
Functional Analysis and Its Applications, 1998, Volume 32, Issue 4, Pages 258–267
DOI: https://doi.org/10.1007/BF02463208
Bibliographic databases:
Document Type: Article
UDC: 514.752.43+517.984
Language: Russian
Citation: I. A. Taimanov, “The Weierstrass Representation of Closed Surfaces in R3”, Funktsional. Anal. i Prilozhen., 32:4 (1998), 49–62; Funct. Anal. Appl., 32:4 (1998), 258–267
Citation in format AMSBIB
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\by I.~A.~Taimanov
\paper The Weierstrass Representation of Closed Surfaces in $\mathbb{R}^3$
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Linking options:
  • https://www.mathnet.ru/eng/faa437
  • https://doi.org/10.4213/faa437
  • https://www.mathnet.ru/eng/faa/v32/i4/p49
  • This publication is cited in the following 43 articles:
    1. Yanheng Ding, Tian Xu, Series in Contemporary Mathematics, 6, Localization Approaches in Strongly Indefinite Problems, 2025, 191  crossref
    2. Yanheng Ding, Tian Xu, Series in Contemporary Mathematics, 6, Localization Approaches in Strongly Indefinite Problems, 2025, 13  crossref
    3. Takeshi Isobe, Yannick Sire, Tian Xu, “Non-compactness results for the spinorial Yamabe-type problems with non-smooth geometric data”, Journal of Functional Analysis, 2024, 110472  crossref
    4. P. G. Grinevich, “Riemann Surfaces Close to Degenerate Ones in the Theory of Rogue Waves”, Proc. Steklov Inst. Math., 325 (2024), 86–110  mathnet  crossref  crossref  zmath  isi
    5. I. A. Taimanov, “Floquet–Bloch Functions on Non-simply Connected Manifolds, the Aharonov–Bohm Fluxes, and Conformal Invariants of Immersed Surfaces”, Proc. Steklov Inst. Math., 325 (2024), 280–291  mathnet  crossref  crossref  zmath
    6. Takeshi Isobe, Tian Xu, “Solutions of spinorial Yamabe-type problems on 𝑆^{𝑚}: Perturbations and applications”, Trans. Amer. Math. Soc., 2023  crossref
    7. P. G. Grinevich, P. M. Santini, “The finite-gap method and the periodic Cauchy problem for (2+1)-dimensional anomalous waves for the focusing Davey–Stewartson 2 equation”, Russian Math. Surveys, 77:6 (2022), 1029–1059  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    8. A. V. Bolsinov, V. M. Buchstaber, A. P. Veselov, P. G. Grinevich, I. A. Dynnikov, V. V. Kozlov, Yu. A. Kordyukov, D. V. Millionshchikov, A. E. Mironov, R. G. Novikov, S. P. Novikov, A. A. Yakovlev, “Iskander Asanovich Taimanov (on his 60th birthday)”, Russian Math. Surveys, 77:6 (2022), 1159–1168  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    9. Vaz Jr. Jayme, “Representation of Surfaces Using Spinor Operators”, J. Math. Phys., 60:2 (2019), 023509  crossref  mathscinet  zmath  isi  scopus
    10. Leschke K. Moriya K., “Simple Factor Dressing and the Lopez-Ros Deformation of Minimal Surfaces in Euclidean 3-Space”, Math. Z., 291:3-4 (2019), 1015–1058  crossref  mathscinet  zmath  isi  scopus
    11. Duston Ch.L., “Torus Solutions to the Weierstrass-Enneper Representation of Surfaces”, J. Math. Phys., 60:8 (2019), 082703  crossref  isi
    12. P. G. Grinevich, S. P. Novikov, “Singular solitons and spectral meromorphy”, Russian Math. Surveys, 72:6 (2017), 1083–1107  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    13. R. M. Matuev, I. A. Taimanov, “The Moutard Transformation of Two-Dimensional Dirac Operators and the Conformal Geometry of Surfaces in Four-Dimensional Space”, Math. Notes, 100:6 (2016), 835–846  mathnet  crossref  crossref  mathscinet  isi  elib
    14. I. A. Taimanov, “The Moutard Transformation of Two-Dimensional Dirac Operators and Möbius Geometry”, Math. Notes, 97:1 (2015), 124–135  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    15. Bohle Ch. Taimanov I.A., “Euclidean Minimal Tori With Planar Ends and Elliptic Solitons”, Int. Math. Res. Notices, 2015, no. 14, 5907–5932  crossref  mathscinet  zmath  isi  elib  scopus
    16. С. Bohle, I. A. Taimanov, “Spectral Curves for Cauchy–Riemann Operators on Punctured Elliptic Curves”, Funct. Anal. Appl., 47:4 (2013), 319–322  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    17. Bohle Ch., Leschke K., Pedit F., Pinkall U., “Conformal Maps From a 2-Torus to the 4-Sphere”, J. Reine Angew. Math., 671 (2012), 1–30  crossref  mathscinet  zmath  isi  elib  scopus
    18. Moriya K., “A Condition for a Closed One-Form to Be Exact”, Adv. Appl. Clifford Algebr., 22:2 (2012), 433–448  crossref  mathscinet  zmath  isi  elib  scopus
    19. I. A. Taimanov, “Singular spectral curves in finite-gap integration”, Russian Math. Surveys, 66:1 (2011), 107–144  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    20. D. V. Zakharov, “Weierstrass Representation for Discrete Isotropic Surfaces in R2,1, R3,1, and R2,2”, Funct. Anal. Appl., 45:1 (2011), 25–32  mathnet  crossref  crossref  mathscinet  zmath  isi
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    Функциональный анализ и его приложения Functional Analysis and Its Applications
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