Remarks on Some Soliton Types with Certain Vector Fields

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Fundamentals of Contemporary Mathematical Sciences
Volume:3 Issue:2
Remarks on Some Soliton Types with Certain Vector Fields

Remarks on Some Soliton Types with Certain Vector Fields

Authors : Halil İbrahim YOLDAŞ

Pages : 146-159

Doi:10.54974/fcmathsci.1077820

View : 38 | Download : 9

Publication Date : 2022-07-28

Article Type : Research Paper

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

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