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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 244, Pages 249–280 (Mi tm448)  
This article is cited in 12 scientific papers (total in 12 papers)

Dirac Operators and Conformal Invariants of Tori in 3-Space

I. A. Taimanov

Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
Full-text PDF (377 kB) Citations (12)
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Abstract: It is proved that the multipliers of the Floquet functions that are associated with immersions of tori into $\mathbb R^3$ (or $S^3$) form a complex curve in $\mathbb C^2$. The properties of this curve are studied. In addition, it is shown how the curve and its construction are related to the method of finite-gap integration, the Willmore functional, and harmonic mappings of the 2-torus into $S^3$.
Received in April 2001
Bibliographic databases:
UDC: 514.752.43+517.984
Language: Russian
Citation: I. A. Taimanov, “Dirac Operators and Conformal Invariants of Tori in 3-Space”, Dynamical systems and related problems of geometry, Collected papers. Dedicated to the memory of academician Andrei Andreevich Bolibrukh, Trudy Mat. Inst. Steklova, 244, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 249–280; Proc. Steklov Inst. Math., 244 (2004), 233–263
Citation in format AMSBIB
\Bibitem{Tai04}
\by I.~A.~Taimanov
\paper Dirac Operators and Conformal Invariants of Tori in 3-Space
\inbook Dynamical systems and related problems of geometry
\bookinfo Collected papers. Dedicated to the memory of academician Andrei Andreevich Bolibrukh
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 244
\pages 249--280
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm448}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2075118}
\zmath{https://zbmath.org/?q=an:1091.53041}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 244
\pages 233--263
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    • This publication is cited in the following 12 articles:
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