MAGNETIC FIELDS ON THE TANGENT BUNDLE OVER KÄHLERIAN MANIFOLDS

Djaa N. E., GEZER A., Djaa M.

Reports on Mathematical Physics, cilt.91, sa.2, ss.143-164, 2023 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 91 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/s0034-4877(23)00022-8
  • Dergi Adı: Reports on Mathematical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.143-164
  • Anahtar Kelimeler: Berger-type deformed Sasaki metric, Einstein manifold, Killing vector field, Kählerian manifold, magnetic field, tangent bundle
  • Atatürk Üniversitesi Adresli: Evet

Özet

This paper is devoted to the study of generalized magnetic vector fields as magnetic maps from a Kählerian manifold to its tangent bundle endowed with a Berger type deformed Sasaki metric. Some properties of Killing magnetic vector fields are provided specially in the case of an Einstein manifold and a space form. In the last section, we consider the case of unit tangent bundle.