Chen‐Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

Ali H. Al-Khaldi, Mohd. Aquib, Mohd Aslam and Meraj Ali Khan

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: In this article, we obtain improved Chen‐Ricci inequalities for submanifolds of generalized space forms with quarter‐symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space form and a Legendrian submanifold in a generalized Sasakian space form. We also discuss some geometric applications of the obtained results.

Date: 2021
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https://doi.org/10.1155/2021/3221643

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:3221643

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