JOURNAL OF GEOMETRY, vol.109, no.2, 2018 (ESCI)
Article / Article
JOURNAL OF GEOMETRY
Emerging Sources Citation Index (ESCI), Scopus
Statistical manifold, statistical submanifold, warped product manifold, the generalized Wintgen inequality, HYPERSURFACES
Bursa Uludag University Affiliated:
In this paper, we study statistical manifolds and their submanifolds. We first construct two new examples of statistical warped product manifolds and give a method how to construct Kenmotsu-like statistical manifold and cosymplectic-like statistical manifold based on the existence of Kaehler-like statistical manifold. Then we obtain the general Wintgen inequality for statistical submanifolds of statistical warped product manifolds.