Nonlinear Sigma Models in (1+2)-Dimensions and An Infinite Number of Conserved Currents

Abstract

We treat in this paper non-linear sigma models such as $C{P}^1$-model, $Q{P}^1$-model and etc, in 1+2 dimensions. For submodels of such ones we definitely construct an infinite number of nontrivial conserved currents. Our result is a generalization of that of authors (Alvarez, Ferreira and Guillen).

14 pages, AMSLaTex