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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 244, Pages 249–280
(Mi tm448)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/tm448 https://www.mathnet.ru/eng/tm/v244/p249
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Abstract page: | 574 | Full-text PDF : | 192 | References: | 94 |
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