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

Bolton, John; Woodward, LM.

Authors

LM. Woodward



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
Publisher World Scientific Publishing
Peer Reviewed Peer Reviewed
Volume 12
Issue 5
Pages 535-554
DOI https://doi.org/10.1142/s0129167x01000915