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This article is cited in 45 scientific papers (total in 46 papers)
Two-dimensional Dirac operator and the theory of surfaces
I. A. Taimanov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
A survey is given of the Weierstrass representations of surfaces in three- and four-dimensional spaces, their applications to the theory of the Willmore functional, and related problems in the spectral theory of the two-dimensional Dirac operator with periodic coefficients.
Received: 30.11.2005
Citation:
I. A. Taimanov, “Two-dimensional Dirac operator and the theory of surfaces”, Russian Math. Surveys, 61:1 (2006), 79–159
Linking options:
https://www.mathnet.ru/eng/rm1716https://doi.org/10.1070/RM2006v061n01ABEH004299 https://www.mathnet.ru/eng/rm/v61/i1/p85
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