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Filomat 2019 Volume 33, Issue 15, Pages: 4923-4930
https://doi.org/10.2298/FIL1915923T
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On quasi-Sasakian 3-manifolds admitting η-Ricci solitons

Turan Mine (Arts and Science Faculty, Department of mathematics, Dumlupinar University, Kutahya, Turkey)
Yetim Cemile (Arts and Science Faculty, Department of mathematics, Dumlupinar University, Kutahya, Turkey)
Chaubey Sudhakar Kumar (Section of mathematics, Department of Information Technology, Shinas College of Technology, Oman)

The object of the present paper is to prove that in a quasi-Sasakian 3-manifold admitting η-Ricci soliton, the structure function β is a constant. As a consequence we obtain several important results.

Keywords: Quasi-Sasakian manifolds, Structure function β, Ricci flow, η-Ricci solitons