Advances in Mathematical Physics (Jan 2021)

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

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

DOI
https://doi.org/10.1155/2021/3221643
Journal volume & issue
Vol. 2021

Abstract

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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.