Finite gap theory of the Clifford torus
نویسنده
چکیده
In this paper we construct the spectral curve and the Baker–Akhiezer function for the Dirac operator which form the data of the Weierstrass representation of the Clifford torus. This torus appears in many conjectures from differential geometry (see Section 2). By constructing this Baker–Akhiezer function we demonstrate a general procedure for constructing Dirac operators and their Baker–Akhiezer functions corresponding to singular spectral curves. This procedure is exposed in Section 3. The Clifford torus is a torus embedded into R which appears in many important problems of surface theory. The corresponding Dirac operator is
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