TY - JOUR
T1 - Seiberg-Witten-Like Equations Without Self-Duality on Odd Dimensional Manifolds
AU - Eker , Serhan
AU - Deǧirmenci , Nedim
JO - Journal of Partial Differential Equations
VL - 4
SP - 291
EP - 303
PY - 2019
DA - 2019/01
SN - 31
DO - http://doi.org/10.4208/jpde.v31.n4.1
UR - https://global-sci.org/intro/article_detail/jpde/12944.html
KW - Clifford algebras
KW - Spin and Spin$^c$ geometry
KW - Seiberg-Witten equations.
AB - <p>In this paper, Seiberg-Witten-like equations without self-duality are defined
on any smooth 2n+1-dimensional Spin<sup>c</sup> manifolds. Then, a non-trivial solution is
given on the strictly-Pseudoconvex CR-5 manifolds endowed with a canonical Spin<sup>c</sup>-
structure by using Dirac operator associated with the generalized Tanaka-Webster connection. Finally, some bounds are given to them on the 5-dimensional Riemannian
manifolds.</p>