JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, vol.31, no.4, pp.291-303, 2018 (ESCI)
Article / Article
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS
Emerging Sources Citation Index (ESCI)
Clifford algebras, Spin and Spinc geometry, Seiberg-Witten equations
Anadolu University Affiliated:
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.