Conformal $\eta$-Ricci-Yamabe solitons on submanifolds of an $(LCS)_n$-manifold admitting a quarter-symmetric metric connection

Abstract

This paper presents some results for conformal $\eta$-Ricci-Yamabe solitons (CERYS) on invariant and anti-invariant submanifolds of a $(LCS)_n$-manifold admitting a quarter-symmetric metric connection (QSMC). In addition, 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 example that appoints some of our inference.

Keywords

• Conformal $\eta$-Ricci-Yamabe soliton
• submanifolds of a (LCS)n -manifolds
• quarter symmetric metric connection
• M-projectively flat
• pseudo-projectively flat
• Q-flat.

Supporting Institution

NA

Project Number

NA

Ethical Statement

I have declaim that there is no any ethical issue

Thanks

NA

References

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