Gradient Schouten Solitons with Respect to the Sasaki Metric

Gezer, Aydın; Bilen, Lokman

doi:10.31801/cfsuasmas.1615088

Makale Tam Makale Uluslararası 2026 Açık erişimli

Gradient Schouten Solitons with Respect to the Sasaki Metric

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS Cilt 75 · Sayı 1 · ss. 1–13 · 29.03.2026

DOI ile aç

Özet

In this paper, we investigate the gradient Schouten soliton structure on the tangent bundle TM of a Riemannian manifold endowed with the Sasaki metrics g. The study is carried out with respect to an adapted frame. We derive necessary and sufficient conditions for the quadruples (TM,S g,V f, λ) and (TM,S g,C f, λ) to define gradient Schouten solitons.

Anahtar kelimeler

Tangent bundle Sasaki metric Schouten soliton

Atıf için künye

Gezer, A., & Bilen, L. (2026). Gradient Schouten Solitons with Respect to the Sasaki Metric. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 75(1), 1–13. https://doi.org/10.31801/cfsuasmas.1615088

BibTeX

@article{gezer2026-73765,
  author = {Gezer, Aydın and Bilen, Lokman},
  title = {Gradient Schouten Solitons with Respect to the Sasaki Metric},
  journal = {COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS},
  year = {2026},
  volume = {75},
  number = {1},
  pages = {1--13},
  issn = {1303-5991},
  doi = {10.31801/cfsuasmas.1615088},
  url = {https://akademik.atauni.edu.tr/yayinlar/73765-gradient-schouten-solitons-with-respect-to-the-sasaki-metric}
}