Linearly full harmonic 2-spheres in S^4 of area 20\pi

Bolton, John; Woodward, LM.

Abstract

We give an explicit description of all harmonic 2-spheres of area 20\pi in the round 4-sphere S^4 in terms of their branch points and umbilics. This is obtained by finding canonical forms for the twistor lifts of such maps in complex projective 3-space.

Citation

Bolton, J., & Woodward, L. (2001). Linearly full harmonic 2-spheres in S^4 of area 20\pi. International Journal of Mathematics, 12(5), 535-554. https://doi.org/10.1142/s0129167x01000915

• Journal Article Type: Article
• Online Publication Date: Jul 1, 2001
• Publication Date: Jul 1, 2001
• Deposit Date: Mar 6, 2008
• Journal: International Journal of Mathematics
• Print ISSN: 0129-167X
• Electronic ISSN: 1793-6519
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 12
• Issue: 5
• Pages: 535-554
• DOI: https://doi.org/10.1142/s0129167x01000915
• Public URL: https://durham-repository.worktribe.com/output/1567312