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, vol.74, no.4, pp.582-593, 2025 (ESCI, TRDizin)

• Publication Type: Article / Article
• Volume: 74 Issue: 4
• Publication Date: 2025
• Doi Number: 10.31801/cfsuasmas.1540817
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.582-593
• Istanbul University Affiliated: Yes

Abstract

. 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.