Harmonic Tori and Their Spectral Data
نویسنده
چکیده
One of the earliest applications of modern integrable systems theory (or “soliton theory”) to differential geometry was the solution of the problem of finding all constant mean curvature (CMC) tori in R3 (and therefore, by taking the Gauss map, finding all non-conformal harmonic maps from a torus to S2). At its simplest level this proceeds from the recognition that the Gauss-Codazzi equations of a CMC torus are the elliptic sinh-Gordon equations
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