Seiberg-witten-like equations on the strictly pseudoconvex cr-3 manifolds

Eker S.

Bulletin of the Korean Mathematical Society, cilt.56, sa.6, ss.1551-1567, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.4134/bkms.b181273
  • Dergi Adı: Bulletin of the Korean Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1551-1567
  • Anahtar Kelimeler: Clifford algebras, Seiberg-Witten equations, Spin and Spinc geometry, Spinors
  • Marmara Üniversitesi Adresli: Hayır

Özet

In this paper, Seiberg-Witten-like equations are written down on 3-manifolds. Then, it has been proved that the L2-solutions of these equations are trivial on R3. Finally, a global solution is obtained on the strictly pseudoconvex CR-3 manifolds for a given constant negative scalar curvature.