Basic inequalities for statistical submanifolds in Golden-like statistical manifolds

Abstract

In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds. Also, in support of our definition, we provide a couple of examples.

Keywords

• chen invariant
• casorati curvature
• golden manifold
• statistical manifold
• 53c15
• 53c25
• 53c40
• 53b25