## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Almost $\eta$-Ricci solitons in $(LCS)_n$-manifolds

#### Abstract

We consider almost $\eta$-Ricci solitons in $(LCS)_n$-manifolds satisfying certain curvature conditions. We provide a lower and an upper bound for the norm of the Ricci curvature in the gradient case, derive a Bochner-type formula for an almost $\eta$-Ricci soliton and state some consequences of it on an $(LCS)_n$-manifold.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 25, Number 5 (2018), 641-653.

Dates
First available in Project Euclid: 18 January 2019

https://projecteuclid.org/euclid.bbms/1547780426

Digital Object Identifier
doi:10.36045/bbms/1547780426

Mathematical Reviews number (MathSciNet)
MR3901837

Zentralblatt MATH identifier
07038543

#### Citation

Blaga, Adara M. Almost $\eta$-Ricci solitons in $(LCS)_n$-manifolds. Bull. Belg. Math. Soc. Simon Stevin 25 (2018), no. 5, 641--653. doi:10.36045/bbms/1547780426. https://projecteuclid.org/euclid.bbms/1547780426