Electronic Resource
Springer
The European physical journal
29 (2002), S. 217-219
ISSN:
1434-6036
Keywords:
PACS. 02.40.-K Geometry, differential geometry, and topology – 02.30.Jr Partial differential equations – 11.10.Lm Nonlinear or nonlocal theories and models
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: In this talk we introduce a Weierstrass-like system of equations corresponding to CP N -1 fields in two dimensions. Then using this representation we introduce a vector in R N 2-1 and treating this vector as the radius vector of a surface immersed in R N 2-1 we discuss to what extent the associated metric describes the geometry of the CP N -1 maps. We show that for the holomorphic maps - the correspondence is exact; while for the more general fields we have to go beyond the Weierstrass system and add extra terms.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1140/epjb/e2002-00289-3
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