Seiberg-Witten-Like Equations Without Self-Duality on Odd Dimensional Manifolds

Serhan Eker; Nedim Deǧirmenci

doi:10.4208/jpde.v31.n4.1

Seiberg-Witten-Like Equations Without Self-Duality on Odd Dimensional Manifolds

Authors

Serhan Eker Department of Mathematics Aǧrı İbrahım Çeçen University, Aǧrı04000, Turkey
Nedim Deǧirmenci Department of Mathematics Anadolu University, Eskisehir 26000, Turkey

DOI:

https://doi.org/10.4208/jpde.v31.n4.1

Keywords:

Clifford algebras;Spin and Spin$^c$ geometry;Seiberg-Witten equations.

Abstract

In this paper, Seiberg-Witten-like equations without self-duality are defined on any smooth 2n+1-dimensional Spin^c 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 associated with the generalized Tanaka-Webster connection. Finally, some bounds are given to them on the 5-dimensional Riemannian manifolds.

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Published

2020-05-12

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Issue

Vol. 31 No. 4 (2018)

Section

Articles

How to Cite

Seiberg-Witten-Like Equations Without Self-Duality on Odd Dimensional Manifolds. (2020). Journal of Partial Differential Equations, 31(4), 291-303. https://doi.org/10.4208/jpde.v31.n4.1