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Minimal surfaces in $$S^3$$ : a survey of recent results

Minimal surfaces in $$S^3$$ : a survey of recent results

In this survey, we discuss various aspects of the minimal surface equation in the three-sphere $$S^3$$ . After recalling the basic definitions, we describe a family of immersed minimal tori with rotational symmetry. We then review the known examples of embedded minimal surfaces in $$S^3$$ . Besides the equator and …