Abstract

A general definition of almost soliton is considered and the particular cases of almost $\eta$-Ricci, -Einstein and -Yamabe solitons are stretched. Conditions of existence of conjugate solitons are also provided and examples from paracontact geometry are constructed. In the gradient case, two inequalities are deduced and a Bochner-type formula is obtained.

Keywords: Almost solitons; linear connections.

MSC: 35C08, 35Q51, 53B05

Pages:  244$-$249     

Volume  71 ,  Issue  3 ,  2019