CONFORMAL η-RICCI-YAMABE SOLITONS ON SUBMANIFOLDS OF AN (LCS)n-MANIFOLD ADMITTING A QUARTER-SYMMETRIC METRIC CONNECTION

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YADAV S. K., HASEEB A., YILDIZ A.

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.73, sa.3, ss.611-629, 2024 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 73 Sayı: 3
• Basım Tarihi: 2024
• Doi Numarası: 10.31801/cfsuasmas.1382928
• Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.611-629
• İnönü Üniversitesi Adresli: Evet

Özet

This paper presents some results for conformal η-Ricci-Yamabe solitons (CERYS) on invariant and anti-invariant submanifolds of a (LCS)n- manifold admitting a quarter-symmetric metric connection (QSMC). In ad- dition, we developed the characterization of CERYS on M-projectively flat, Q-flat, and concircularly flat anti-invariant submanifolds of a (LCS)n-manifold with respect to the aforementioned connection. Finally, we construct an ex- tensive example that appoints some of our inferences.