We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

The space of harmonic two-spheres in the unit four-sphere.

Bolton, J. and Woodward, L. M. (2006) 'The space of harmonic two-spheres in the unit four-sphere.', Tohoku mathematical journal., 58 (2). pp. 231-236.


A harmonic map of the Riemann sphere into the unit 4-dimensional sphere has area 4 pi d for some positive integer d, and it is well-known that the space of such maps may be given the structure of a complex algebraic variety of dimension 2d+4. When d is less than or equal to 2, the subspace consisting of those maps which are linearly full is empty. We use the twistor fibration from complex projective 3-space to the 4-sphere to show that, if d is equal to 3,4 or 5, this subspace is a complex manifold.

Item Type:Article
Keywords:Harmonic maps, 2-sphere, Twistor fibration.
Full text:Full text not available from this repository.
Publisher Web site:
Date accepted:No date available
Date deposited:No date available
Date of first online publication:March 2006
Date first made open access:No date available

Save or Share this output

Look up in GoogleScholar