Abstract
The article is concerned with the study of real hypersurfaces of the complex quadric Q(m). We establish B. Y. Chen's inequalities for real hypersurfaces of the complex quadric Q(m) and by considering the equality case, we obtain some consequences. Also, we establish an inequality in terms of the warping function and the scalar curvature for a warped product real hypersurface of Q(m) and some obstructions have been given. Moreover, we investigate the expression of the curvature tensor of a real hypersurface in the complex quadric Q(m) admitting semi-symmetric metric connection. Using this curvature, we derive inequalities involving Chen delta-invariant admitting a semi-symmetric metric connection. Furthermore, the equality case is considered.