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

Author

Listed:
  • Ali H. Al-Khaldi
  • Mohd. Aquib
  • Mohd Aslam
  • Meraj Ali Khan

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.

Suggested Citation

  • Ali H. Al-Khaldi & Mohd. Aquib & Mohd Aslam & Meraj Ali Khan, 2021. "Chen‐Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:3221643
    DOI: 10.1155/2021/3221643
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    1. Mohd. Aquib & Michel Nguiffo Boyom & Mohammad Hasan Shahid & Gabriel-Eduard Vîlcu, 2019. "The First Fundamental Equation and Generalized Wintgen-Type Inequalities for Submanifolds in Generalized Space Forms," Mathematics, MDPI, vol. 7(12), pages 1-20, December.
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