Ricci solitons in contact metric manifolds

TL;DR

This paper investigates Ricci solitons within specific classes of contact metric manifolds, focusing on gradient, compact, and vector field-aligned solitons, to understand their geometric properties and classifications.

Contribution

It provides new insights into Ricci solitons in $N(k)$-contact and $(k,)$-manifolds, analyzing special cases like gradient and pointwise collinear vector field solitons.

Findings

Characterization of Ricci solitons in $N(k)$-contact manifolds.

Analysis of Ricci solitons with vector field $$ collinear with $$.

Conditions under which Ricci solitons are gradient or compact.

Abstract

In $N(k)$-contact metric manifolds and/or $(k,\mu)$-manifolds, gradient Ricci solitons, compact Ricci solitons and Ricci solitons with $V$ pointwise collinear with the structure vector field $\xi $ are studied.