η-Ricci-Bourguignon solitons on Kenmotsu manifolds with φ(Ric)-vector fields


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Traore M., Tastan H. M.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.74, sa.4, ss.582-593, 2025 (ESCI, TRDizin) identifier

Özet

. The present study concerns the investigation of Kenmotsu manifolds endowed with rl-RicciBourguignon solitons. In particular, we aim to establish certain properties of rl-Ricci-Bourguignon solitons on submanifolds isometrically immersed into a Kenmotsu manifold when its potential vector field is the tangential component of the phi(7Zic)-vector field. Finally, we prove that an rl-Ricci-Bourguignon soliton on a hypersurface whose potential vector field is the tangential component of the phi(7Zic)-vector field is both a generalized and a pseudo-generalized quasi-Einstein manifold.