Embedded minimal tori in S 3 and the Lawson conjecture

• 成果类型: Article
• 署名作者: Brendle, Simon
• 署名单位: Stanford University
• 刊物名称: ACTA MATHEMATICA
• ISSN/ISSBN: 0001-5962
• DOI: 10.1007/s11511-013-0101-2
• 发表日期: 2013
• 页码: 177-190
• 关键词: mean-curvature flow; 1st eigenvalue; SURFACES; THEOREMS

摘要

We show that any embedded minimal torus in S (3) is congruent to the Clifford torus. This answers a question posed by H. B. Lawson, Jr., in 1970.