%0 Journal Article
%T Characterizations of Trivial Ricci Solitons
%A Alsodais
%A Hana
%A Bin Turki
%A Nasser
%A Deshmukh
%A Sharief
%J -
%D 2020
%R https://doi.org/10.1155/2020/9826570
%X Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton. First, on a complete shrinking Ricci soliton, we show that the scalar curvature satisfying a certain inequality gives a characterization of a trivial Ricci soliton. Then, it is shown that the potential field having geodesic flow and length of potential field satisfying certain inequality gives another characterization of a trivial Ricci soliton. Finally, we show that the potential field of constant length satisfying an inequality gives a characterization of a trivial Ricci soliton
%U https://www.hindawi.com/journals/amp/2020/9826570/