Inequalities for submanifolds of Sasaki-like statistical manifolds

Authors: HÜLYA BOSTAN AYTİMUR, CİHAN ÖZGÜR

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.

Keywords: Sasaki-like statistical manifold, Chen-Ricci inequality, Ricci curvature, scalar curvature

Full Text: PDF