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

PDF (PC)

847

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
版权所有 © 《数学物理学报(英文版)》杂志社
地址：武汉市71010号信箱(430071)　电话: 027-87199206(中文版)　027-87199087(英文版)
E-mail: actams@apm.ac.cn
本系统由北京玛格泰克科技发展有限公司设计开发