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  • PACS. 02.40.-K Geometry, differential geometry, and topology – 02.30.Jr Partial differential equations – 11.10.Lm Nonlinear or nonlocal theories and models  (1)
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  • Articles: DFG German National Licenses  (1)
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    Electronic Resource
    Electronic Resource
    Some geometric aspects of maps (2002)
    Springer
    The European physical journal 29 (2002), S. 217-219 
    Details
    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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