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Durham University

Department of Mathematical Sciences


Publication details for Dr John Bolton

Bolton, John. & Woodward, LM. (2001). Linearly full harmonic 2-spheres in S^4 of area 20\pi. International Journal of Mathematics 12(5): 535-554.

Author(s) from Durham


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.