Seiberg-Witten-Like Equations Without Self-Duality on Odd Dimensional Manifolds
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In this paper, Seiberg-Witten-like equations without self-duality are defined on any smooth 2n+1-dimensional Spinc manifolds. Then, a non-trivial solution is given on the strictly-Pseudoconvex CR-5 manifolds endowed with a canonical Spin(c)-structure by using Dirac operator associatedwith the generalized Tanaka-Webster connection. Finally, some bounds are given to them on the 5-dimensional Riemannian manifolds.