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.

DOI

10.3906/mat-1806-19

Keywords

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

First Page

3149

Last Page

3163

Recommended Citation

AYTİMUR, H. B, & ÖZGÜR, C (2018). Inequalities for submanifolds of Sasaki-like statistical manifolds. Turkish Journal of Mathematics 42 (6): 3149-3163. https://doi.org/10.3906/mat-1806-19