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

Adara M. Blaga

doi:10.36045/bbms/1547780426

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

Differential Geometry 2025-08-04 v5

Authors: Adara M. Blaga

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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.

Keywords

almost η-Ricci soliton (LCS)_n-manifold Ricci curvature Bochner-type formula gradient case curvature conditions

Cite

@article{arxiv.1707.09343,
  title  = {Almost $\eta$-Ricci solitons in $(LCS)_n$-manifolds},
  author = {Adara M. Blaga},
  journal= {arXiv preprint arXiv:1707.09343},
  year   = {2025}
}

Comments

15 pages

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