Synectic lift metrics on tangent bundles: exploring soliton structures and gradient variants

Bilen, Lokman; Gezer, Aydın; Velioğlu, Hatice Vildan

doi:10.47743/anstim.2025.00005

Makale Tam Makale Uluslararası 2025 Açık erişimli

Synectic lift metrics on tangent bundles: exploring soliton structures and gradient variants

Lokman Bilen, Aydın Gezer, Hatice Vildan Velioğlu

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi-Serie Noua-Matematica Cilt 71 · Sayı 1 · ss. 59–69 · 01.01.2025

DOI ile aç

Özet

Let TM be the tangent bundle with the synectic lift on the n-dimensional Riemannian manifold M. The objective of this article is to investigate the properties of Ricci soliton and generalized Ricci-Yamabe soliton structures according to the synectic lift metric on the tangent bundle TM. Furthermore, the properties of the gradient Ricci soliton and the generalized gradient Ricci-Yamabe soliton are also investigated in this article.

Anahtar kelimeler

Tangent bundle gradient Ricci soliton generalized Ricci-Yamabe soliton Ricci soliton generalized gradient Ricci-Yamabe soliton synectic lift metric

Atıf için künye

Bilen, L., Gezer, A., & Velioğlu, H. V. (2025). Synectic lift metrics on tangent bundles: exploring soliton structures and gradient variants. Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi-Serie Noua-Matematica, 71(1), 59–69. https://doi.org/10.47743/anstim.2025.00005

BibTeX

@article{bilen2025-73767,
  author = {Bilen, Lokman and Gezer, Aydın and Velioğlu, Hatice Vildan},
  title = {Synectic lift metrics on tangent bundles: exploring soliton structures and gradient variants},
  journal = {Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi-Serie Noua-Matematica},
  year = {2025},
  volume = {71},
  number = {1},
  pages = {59--69},
  issn = {1221-8421},
  doi = {10.47743/anstim.2025.00005},
  url = {https://akademik.atauni.edu.tr/yayinlar/73767-synectic-lift-metrics-on-tangent-bundles-exploring-soliton-structures-and}
}