Ricci and scalar curvatures of hemi-slant submanifolds in 3-Sasakian space forms

Abstract

‎In this paper‎, ‎we study hemi-slant submanifolds of 3-Sasakian manifolds‎. ‎First‎, ‎we obtain some new results in terms of the operators $T_i$ and $n_i$ and then by using Gauss‎, ‎Codazzi and Ricci equations‎, ‎we prove some results involving Ricci and scalar curvature tensors in terms of the slant angle and the mean curvature vector of the submanifold.