Autodual connectivities of young - milis and some integrable systems

Abstract

Linear equations on connectivity curvature tensor in the main separation (autoduality equations) are considered in the paper aiming at the description of new cases of the autoduality equation reduction for fields of Young-Mills in R241 to integrable equations in R211. The obtaining of classes of exact autodual solutions for equations of Young-Mills in R2n1 with an arbitrary calibration group is also the aim of the paper. As a result new cases of the autoduality equation reduction in R241 to integrable equations in R211 have been described. New classes of autodual solutions for equations of Young x Mills with an arbitrary calibration group have been constructedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio