Degree 3 algebraic minimal surfaces in the 3-sphere

Joe S. Wang

Degree 3 algebraic minimal surfaces in the 3-sphere

Differential Geometry 2014-07-14 v1

Authors: Joe S. Wang

Abstract

We give a local analytic characterization that a minimal surface in the 3-sphere $\, \ES^3 \subset \R^4$ defined by an irreducible cubic polynomial is one of the Lawson's minimal tori. This provides an alternative proof of the result by Perdomo (\emph{Characterization of order 3 algebraic immersed minimal surfaces of $S^3$ },Geom. Dedicata 129 (2007), 23--34).

Keywords

minimal surfaces surfaces and embeddings algebraic surfaces

Cite

@article{arxiv.1108.4463,
  title  = {Degree 3 algebraic minimal surfaces in the 3-sphere},
  author = {Joe S. Wang},
  journal= {arXiv preprint arXiv:1108.4463},
  year   = {2014}
}

Comments

19 pages

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