Totally real submanifolds of (LCS)n-manifolds

Hui, Shyamal Kumar; Pal, Tanumoy

doi:10.22190/fumi1802141h

FU Math Inform

2018

DOI: 10.22190/fumi1802141h

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Totally real submanifolds of (LCS)n-manifolds

Shyamal Kumar Hui

Tanumoy Pal²

Abstract: The present paper deals with the study of totally real submanifolds and C-totally real submanifolds of (LCS)n-manifolds withrespect to Levi-Civita connection as well as quarter symmetric metric connection. It is proved that scalar curvature of C-totally real submanifolds of (LCS)n-manifold with respect to both the said connections are same.

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2024

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

Yadav,

Haseeb,

Yıldız

2024

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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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.

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

Yadav,

Haseeb,

Yıldız

2024

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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show abstract

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Totally real submanifolds of (LCS)n-manifolds

Cited by 1 publication

References 10 publications

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

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

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