Some Inequalities for Statistical Submanifolds in Metallic-like Statistical Manifolds

Year 2021, Volume: 13 Issue: 2, 348 - 358, 31.12.2021

Oğuzhan Bahadır

Abstract

In this study, we introduce metallic-like statistical manifolds and provide some examples, which are a generalized version of metallic manifolds. We also obtain the first Chen inequality and a Chen inequality for the $\delta(2,2)$ invariant for statistical submanifolds in metallic-like statistical manifolds.

Keywords

Chen invariants, Statistical manifolds, Metallic manifolds.

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