- Fundamentals of Contemporary Mathematical Sciences
- Vol: 3 Issue: 2
- Remarks on Some Soliton Types with Certain Vector Fields
Remarks on Some Soliton Types with Certain Vector Fields
Authors : Halil Ibrahim Yoldaş
Pages : 146-159
Doi:10.54974/fcmathsci.1077820
View : 9 | Download : 6
Publication Date : 2022-07-28
Article Type : Research
Abstract :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.Keywords : Ricci soliton, Yamabe soliton, Conformal quadratic Killing tensor, $mathcal{Z}$-curvature tensor.