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 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 109 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.1007/s00022-018-0436-0
  • Title of Journal : JOURNAL OF GEOMETRY

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.