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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
  • Antonio Scarfone

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 & Antonio Scarfone, 2021. "Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-10, October.
    • Handle: RePEc:hin:jnlamp:3221643
    DOI: 10.1155/2021/3221643
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