Notes on the Second Tangent Bundle over an Anti -biparaKaehlerian Manifold

Djaa N. E., GEZER A.

Kyungpook Mathematical Journal, cilt.63, sa.1, ss.79-95, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.5666/kmj.2022.63.1.79
  • Dergi Adı: Kyungpook Mathematical Journal
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.79-95
  • Anahtar Kelimeler: anti-biparaKaehlerian structure, Berger type deformed Sasaki metric, geodesics, second tangent bundle
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this note, we define a Berger type deformed Sasaki metric as a natural metric on the second tangent bundle of a manifold by means of a biparacomplex structure. First, we obtain the Levi-Civita connection of this metric. Secondly, we get the curvature tensor, sectional curvature, and scalar curvature. Afterwards, we obtain some formulas characterizing the geodesics with respect to the metric on the second tangent bundle. Finally, we present the harmonicity conditions for some maps