数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (6): 2065-2084.doi: 10.1016/S0252-9602(12)60160-X

• 论文 •    下一篇

DEGREE 3 ALGEBRAIC MINIMAL SURFACES IN THE 3-SPHERE

Joe S. Wang   

  1. 4 Ricado Ln, St. Lauis, M063124, USA
  • 收稿日期:2011-09-02 出版日期:2012-11-20 发布日期:2012-11-20

DEGREE 3 ALGEBRAIC MINIMAL SURFACES IN THE 3-SPHERE

 Joe S. Wang   

  1. 4 Ricado Ln, St. Lauis, M063124, USA
  • Received:2011-09-02 Online:2012-11-20 Published:2012-11-20

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摘要：

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

关键词: algebraic minimal surface, 3-sphere, cubic polynomial

Abstract:

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

Key words: algebraic minimal surface, 3-sphere, cubic polynomial

中图分类号: 

  • 53A10
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