In mathematics, Lawson's conjecture states that the Clifford torus is the only minimally embedded torus in the 3-sphere S3. The conjecture was featured by the Australian Mathematical Society Gazette as part of the Millennium Problems series.
- Lawson, H. Blaine, Jr. (1970). "The unknottedness of minimal embeddings". Invent. Math. 11 (3): 183–187. doi:10.1007/BF01404649.
- Lawson, H. Blaine, Jr. (1970). "Complete minimal surfaces in S3". Ann. of Math. 92 (3): 335–374. JSTOR 1970625.
- Norbury, Paul (2005). "The 12th problem". The Australian Mathematical Society Gazette 32 (4): 244–246.
- Brendle, Simon (2012). "Embedded minimal tori in S3 and the Lawson conjecture". Preprint. arXiv:1203.6597.
|This Differential geometry related article is a stub. You can help Wikipedia by expanding it.|
|This topology-related article is a stub. You can help Wikipedia by expanding it.|