Hussin, V. and Yurdusen, I. and Zakrzewski, W.J. (2010) 'Canonical surfaces associated with projectors in Grassmannian sigma models.', Journal of mathematical physics., 51 (10). p. 103509.
We discuss the construction of higher-dimensional surfaces based on the harmonic maps of S2 into PN−1 and other Grassmannians. We show that there are two ways of implementing this procedure—both based on the use of the relevant projectors. We study various properties of such projectors and show that the Gaussian curvature of these surfaces, in general, is not constant. We look in detail at the surfaces corresponding to the Veronese sequence of such maps and show that for all of them this curvature is constant but its value depends on which mapping is used in the construction of the surface.
|Keywords:||Algebra, Axiomatic field theory, Nonlinear field theory, Topology.|
|Full text:||PDF - Published Version (149Kb)|
|Publisher Web site:||http://dx.doi.org/10.1063/1.3486690|
|Publisher statement:||Copyright 2010 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Hussin, V. and Yurdusen, I. and Zakrzewski, W.J. (2010) 'Canonical surfaces associated with projectors in Grassmannian sigma models.', Journal of mathematical physics., 51 (10). p. 103509 and may be found at http://dx.doi.org/10.1063/1.3486690|
|Record Created:||09 Oct 2012 10:05|
|Last Modified:||09 Oct 2012 13:58|
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