DEGREE 3 ALGEBRAIC MINIMAL SURFACES IN THE 3-SPHERE

摘要

We give a local analytic characterization that a minimal surface in the 3-sphere S3 (C) R4 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).