Optimal inequalities for submanifolds in statistical manifolds of quasi constant curvature

Pooja Bansal, Siraj Uddin, Mohammad Hasan Shahid


In this paper, we establish B.-Y. Chen's optimal inequalities for statistical submanifolds involving Casorati curvature and the normalized scalar curavture in a statistical manifold of quasi constant curvature. The equality cases of these inequalities are also considered. Further, we provide some glimpse of applications of our results.


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