Inequalities for submanifolds in statistical manifolds of quasi-constant curvature
Volume 121 / 2018
Annales Polonici Mathematici 121 (2018), 197-215
MSC: Primary 53C40; Secondary 53B05, 53B15, 53C05, 53A40.
DOI: 10.4064/ap171106-27-6
Published online: 31 October 2018
Abstract
We obtain inequalities for statistical submanifolds of a statistical manifold of quasi-constant curvature. We also obtain the Chen–Ricci inequality and the generalized Wintgen inequality for this type of submanifolds.