Seiberg-Witten-Like Equations on 8-Manifolds without Self-Duality

Abstract

In this paper, Seiberg−Witten−like equations without self−duality are defined on 8 −dimensional mani-folds. Then, non−trivial and flat solutions are given to them on R 8 . Finally, on 8 −real–dimensional Kählermanifolds a global solution to these equation is obtained for a given negative and constant scalar curvature.