Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold

Yan, Lixu; Li, Yanlin; BİLEN, LOKMAN; Gezer, Aydın

doi:10.3390/math12091395

Makale Tam Makale Uluslararası 2024 Açık erişimli

Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold

Lixu Yan, Yanlin Li, LOKMAN BİLEN, Aydın Gezer

MATHEMATICS Cilt 12 · Sayı 9 · 01.05.2024

DOI ile aç

Özet

Let (M,del,g) be a statistical manifold and TM be its tangent bundle endowed with a twisted Sasaki metric G. This paper serves two primary objectives. The first objective is to investigate the curvature properties of the tangent bundle TM. The second objective is to explore conformal vector fields and Ricci, Yamabe, and gradient Ricci-Yamabe solitons on the tangent bundle TM according to the twisted Sasaki metric G.

Atıf için künye

Yan, L., Li, Y., BİLEN, L., & Gezer, A. (2024). Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold. MATHEMATICS, 12(9). https://doi.org/10.3390/math12091395

BibTeX

@article{yan2024-73693,
  author = {Yan, Lixu and Li, Yanlin and BİLEN, LOKMAN and Gezer, Aydın},
  title = {Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold},
  journal = {MATHEMATICS},
  year = {2024},
  volume = {12},
  number = {9},
  issn = {2227-7390},
  doi = {10.3390/math12091395},
  url = {https://akademik.atauni.edu.tr/yayinlar/73693-analyzing-curvature-properties-and-geometric-solitons-of-the-twisted-sasaki}
}