$\eta $-Ricci-Bourguignon Solitons on Three-Dimensional H-Paracontact Metric Manifolds

Year 2026, Volume: 14 Issue: 1 , 202 - 216 , 30.04.2026

İrem Küpeli Erken , Berna Özdamar

https://izlik.org/JA88DT65CS

Abstract

In this paper, we investigate $\eta$-Ricci-Bourguignon solitons and gradient $\eta$-Ricci-Bourguignon solitons on $3$-dimensional $H$% -paracontact metric manifolds and characterize them based on the forms the operator $h$ can take. Furthermore, we present examples that provide our results.

Keywords

Paracontact Metric Manifolds , Paracontact (κ , μ)-Manifolds , η-Ricci-Bourguignon Solitons , gradient η-Ricci-Bourguignon Solitons

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