MAGNETIC FIELDS ON THE TANGENT BUNDLE OVER KÄHLERIAN MANIFOLDS
Reports on Mathematical Physics, cilt.91, sa.2, ss.143-164, 2023 (SCI-Expanded, Scopus)
- 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.