Some Results on Tangent Bundles with Berger Type Deformed Sasaki Metric over Kählerian Manifolds

GEZER A., Zagane A., Djaa N. E.

Journal of Mathematical Physics, Analysis, Geometry, cilt.19, sa.3, ss.642-665, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.15407/mag19.03.642
  • Dergi Adı: Journal of Mathematical Physics, Analysis, Geometry
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.642-665
  • Anahtar Kelimeler: Berger type deformed Sasaki metric, harmonicity, Kählerian manifold, Riemannian curvature tensor, tangent bundle
  • Atatürk Üniversitesi Adresli: Evet

Özet

Let M be a Kählerian manifold equipped with an almost complex struc-ture J and a Riemannian metric g, and let T M be its tangent bundle with the Berger type deformed Sasaki metric. In this paper, firstly, we find all forms of Riemannian curvature tensors of T M. Secondly, we search the con-ditions under which a vector field is harmonic with respect to the Berger type deformed Sasaki metric and give some examples of harmonic vector fields. Finally, we study the harmonicity of maps between the Riemannian manifold and the tangent bundle of another Riemannian manifold and vice versa.