Remarks on Some Soliton Types with Certain Vector Fields

Yıl 2022, Cilt: 3 Sayı: 2, 146 - 159, 28.07.2022

Halil İbrahim Yoldaş

https://doi.org/10.54974/fcmathsci.1077820

Cited By: 3

Öz

This paper mainly aims to investigate some soliton kinds with certain vector fields on Riemannian manifolds and gives some notable geometric results as regards such vector fields. Also, in this paper some special tensors that have an important place in Riemannian geometry are discussed and given some significant links between these tensors. Finally, an example that supports one of our results is given.

Anahtar Kelimeler

Ricci soliton, Yamabe soliton, Conformal quadratic Killing tensor, $\mathcal{Z}$-curvature tensor.

Kaynakça

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