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arxiv: math/0512543 · v2 · submitted 2005-12-23 · 🧮 math.DG

Two-dimensional Dirac operator and surface theory

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keywords theorydiracoperatortwo-dimensionalapplicationscoefficientsfour-dimensionalfunctional
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We give a survey on the Weierstrass representations of surfaces in three- and four-dimensional spaces, their applications to the theory of the Willmore functional and on related problems of spectral theory of the two-dimensional Dirac operator with periodic coefficients.

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