Open AccessPOISSON-LIE STRUCTURE OF LAX-PAIR MATRIX OF INTEGRABLE CLASSICAL NON-LINEAR SIGMA MODEL UNDER THE MOVING FRAME
Author(s) -
Xiang-Mao Ding,
Yanshen Wang,
BoYu Hou
Publication year - 1994
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.43.1
Subject(s) - covariant transformation , moving frame , connection (principal bundle) , poisson bracket , sigma model , pure mathematics , space (punctuation) , matrix (chemical analysis) , integrable system , physics , mathematical physics , poisson distribution , sigma , field (mathematics) , frame (networking) , lie algebra , mathematical analysis , mathematics , geometry , quantum mechanics , nonlinear system , materials science , computer science , telecommunications , statistics , composite material , operating system
We give out the Poisson-Lie brackets of non-linear σ model in O(3)/O(2) sy-mmetric space. Covariant properties from fixed frame to moving frame are discussed, in the process the covariant decomposing methods are used. The r-s-matrix independent of field except the connection of the space is found.