Abstract
We give a local analytic characterization that a minimal surface in the 3-sphere S3 ⊂▪4 defined by an irreducible cubic polynomial is one of the Lawson's minimal tori. This provides an alternative proof of the result by Perdomo (Characterization of order 3 algebraic immersed minimal surfaces of S3, Geom. Dedicata 129 (2007), 23–34).
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