Conformal Geometric Solitons on the Tangent Bundle of a Statistical Manifold

Gezer, Aydın; Bilen, Lokman

doi:10.36890/iejg.1499698

Makale Tam Makale Uluslararası 2025

Conformal Geometric Solitons on the Tangent Bundle of a Statistical Manifold

Aydın Gezer, Lokman Bilen

International Electronic Journal of Geometry Cilt 18 · Sayı 1 · ss. 86–96 · 01.01.2025

DOI ile aç

Özet

Let (Mn,∇, g) denote a statistical manifold equipped with a torsion-free linear connection ∇ and a (pseudo-) Riemannian metric g. The tangent bundle TM of the statistical manifold (Mn,∇, g) is endowed with a twisted Sasaki metric, denoted as G. The objective of this paper is to explore conformal Ricci, conformal Yamabe, and conformal Ricci-Yamabe solitons on the tangent bundle TM concerning the twisted Sasaki metric G.

Anahtar kelimeler

Tangent bundle Conformal soliton statistical manifold. twisted Sasaki metric

Atıf için künye

Gezer, A., & Bilen, L. (2025). Conformal Geometric Solitons on the Tangent Bundle of a Statistical Manifold. International Electronic Journal of Geometry, 18(1), 86–96. https://doi.org/10.36890/iejg.1499698

BibTeX

@article{gezer2025-73709,
  author = {Gezer, Aydın and Bilen, Lokman},
  title = {Conformal Geometric Solitons on the Tangent Bundle of a Statistical Manifold},
  journal = {International Electronic Journal of Geometry},
  year = {2025},
  volume = {18},
  number = {1},
  pages = {86--96},
  issn = {1307-5624},
  doi = {10.36890/iejg.1499698},
  url = {https://akademik.atauni.edu.tr/yayinlar/73709-conformal-geometric-solitons-on-the-tangent-bundle-of-a-statistical-manifold}
}