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

Eker S., DEĞİRMENCİ N.

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, vol.31, no.4, pp.291-303, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.4208/jpde.v31.n4.1
  • Journal Name: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.291-303
  • Keywords: Clifford algebras, Spin and Spinc geometry, Seiberg-Witten equations
  • Anadolu University Affiliated: Yes

Abstract

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.