Inequalities for submanifolds of Sasaki-like statistical manifolds

Abstract

We consider statistical submanifolds in Sasaki-like statistical manifolds. We give some examples of invariant and antiinvariant submanifolds of Sasaki-like statistical manifolds. We prove Chen-like inequality involving scalar curvature and Chen-Ricci inequality for these kinds of submanifolds.

Locally Product-like Statistical Manifolds and Their Hypersurfaces

“…Inspired by the definition of Hermite-like manifolds, contact-like manifolds were studied in [5,12,23,24], para-Kaehler-like and quaternionic-like Kaehler manifolds were investigated in [25,26], the Wintgen-like inequality on statistical warped product manifolds was computed in [21], etc.…”