η-Ricci-Bourguignon solitons on K-paracontact and paracontact metric (κ≠−1, µ)-manifolds

Authors

Keywords:

K-Paracontact Manifolds, Paracontact (κ,μ)-Manifolds, η-Ricci-Bourguignon Solitons, Gradient η-Ricci-Bourguignon solitons.

Abstract

In this study, we focus on $\left( 2n+1\right) $-dimensional $K$-paracontact manifolds admitting $\eta $-Ricci-Bourguignon solitons and gradient $\eta $%-Ricci-Bourguignon solitons. We then completely present the classification of a $\left( 2n+1\right) $-dimensional paracontact metric $\left( \kappa \neq -1\text{, }\mu \right) $-manifold that admits a gradient $\eta $%-Ricci-Bourguignon soliton. Finally, we construct examples that provide our results.

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Published

2025-09-28

How to Cite

Küpeli Erken, İrem, & Nur Emetli, S. (2025). η-Ricci-Bourguignon solitons on K-paracontact and paracontact metric (κ≠−1, µ)-manifolds. International Journal of Maps in Mathematics, 8(2), 622–641. Retrieved from https://simadp.com/journalmim/article/view/344