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

Eker S., DEĞİRMENCİ N.

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, cilt.31, sa.4, ss.291-303, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.4208/jpde.v31.n4.1
  • Dergi Adı: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.291-303
  • Anahtar Kelimeler: Clifford algebras, Spin and Spinc geometry, Seiberg-Witten equations
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.