A study of Wintgen like inequality for submanifolds in statistical warped product manifolds

MURATHAN C., ŞAHİN B.

JOURNAL OF GEOMETRY, vol.109, no.2, 2018 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 109 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.1007/s00022-018-0436-0
  • Journal Name: JOURNAL OF GEOMETRY
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Keywords: Statistical manifold, statistical submanifold, warped product manifold, the generalized Wintgen inequality, HYPERSURFACES
  • Bursa Uludag University Affiliated: Yes

Abstract

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.