On Nearly Sasakian and Nearly Kähler Statistical Manifolds

Siraj Uddin (), Esmaeil Peyghan, Leila Nourmohammadifar and Rawan Bossly
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Siraj Uddin: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Esmaeil Peyghan: Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
Leila Nourmohammadifar: Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
Rawan Bossly: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2023, vol. 11, issue 12, 1-19

Abstract: In this paper, we introduce the notions of nearly Sasakian and nearly Kähler statistical structures with a non-trivial example. The conditions for a real hypersurface in a nearly Kähler statistical manifold to admit a nearly Sasakian statistical structure are given. We also study invariant and anti-invariant statistical submanifolds of nearly Sasakian statistical manifolds. Finally, some conditions under which such a submanifold of a nearly Sasakian statistical manifold is itself a nearly Sasakian statistical manifold are given.

Keywords: information geometry; nearly Kähler statistical manifold; nearly Sasakian statistical manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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