Operators applied to polynomial structures on the semi-tangent bundle

YILDIRIM F., AKBULUT K., Kir M.

International Journal of Geometric Methods in Modern Physics, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s0219887824503006
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: almost contact structure, almost paracontact structure, complete lift, Horizontal lift, Lie derivative, pull-back bundle, semi-tangent bundle, Tachibana operator, vertical lift, Vishnevskii operator
  • Atatürk Üniversitesi Adresli: Evet

Özet

Investigating the Tachibana and Vishnevskii operators used on vvX and ccX in accordance with the almost paracontact structure in the semi-tangent bundle t(M) is the primary goal of this work. Additionally, in the almost paracontact structure, these relationships will be examined for some special vector fields. Studying the Lie derivatives of the almost paracontact structure and almost contact structure on the semi-tangent bundle t(M) with regard to vvX and HHX is the secondary goal of this paper.