DPW potentials for compact symmetric CMC surfaces in S3

Manca B.

2020-01-01

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Abstract

Inspired by the work of Heller (2013), we show that there exists a DPW potential for the Lawson surface ξk−1,l−1 from which it is possible to reconstruct the minimal immersion f:ξk−1,l−1→S3 via the DPW method. Moreover, we extend the result to surfaces immersed in the 3-sphere with constant mean curvature which satisfy a certain symmetric condition.