Investigation of soliton structures on a tangent bundle with a semi-symmetric metric connection

Gezer, Aydın; Karakas, Erkan

doi:10.1142/s1793557125500391

Makale Tam Makale Uluslararası 2025

Investigation of soliton structures on a tangent bundle with a semi-symmetric metric connection

Aydın Gezer, Erkan Karakas

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS Cilt 18 · Sayı 10 · 01.10.2025

DOI ile aç

Özet

Let us consider TM as the tangent bundle of a (pseudo-)Riemannian manifold M equipped with a semi-symmetric metric connection ∇¯. The goal of this research paper is to establish the necessary and sufficient conditions for the tangent bundle TM to become a Ricci soliton, gradient Ricci soliton, Riemannian soliton and generalized Ricci-Yamabe soliton with regard to ∇¯.

Anahtar kelimeler

Tangent bundle Complete lift metric semi-symmetric metric connection soliton

Atıf için künye

Gezer, A., & Karakas, E. (2025). Investigation of soliton structures on a tangent bundle with a semi-symmetric metric connection. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 18(10). https://doi.org/10.1142/s1793557125500391

BibTeX

@article{gezer2025-73790,
  author = {Gezer, Aydın and Karakas, Erkan},
  title = {Investigation of soliton structures on a tangent bundle with a semi-symmetric metric connection},
  journal = {ASIAN-EUROPEAN JOURNAL OF MATHEMATICS},
  year = {2025},
  volume = {18},
  number = {10},
  issn = {1793-5571},
  doi = {10.1142/s1793557125500391},
  url = {https://akademik.atauni.edu.tr/yayinlar/73790-investigation-of-soliton-structures-on-a-tangent-bundle-with-a-semi-symmetric}
}