Univ Sci & Technol China, Grad Sch, Beijing 100039, Peoples R China
; Acad Sinica, Inst High Energy Phys, Beijing 100039, Peoples R China
The modified Seiberg-Witten monopole equations on a three-manifold are presented in this paper. Special analytic solutions to these eqations are given. These eqations are invariant under the conformal transformation.