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

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

References

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