Quasi-Hemi-Slant Submanifolds of Poly-Norden Riemannian Manifolds

Year 2025, Issue: 53, 87 - 95, 31.12.2025

Müslüm Aykut Akgün

Abstract

The goal of this paper is to study quasi-hemi-slant slant submanifolds of poly-Norden Riemannian manifolds. It obtains the integrability conditions for the distribution involved in these submanifolds. Moreover, this paper investigates the conditions under which a distribution of a quasi-hemi-slant submanifold is totally geodesic and derives some equations for the totally geodesic foliations. Furthermore, it provides some non-trivial examples concerning this type of submanifold.

Keywords

Poly-Norden manifolds , slant submanifolds , Riemannian manifolds , quasi-hemi-slant submanifold , totally geodesic foliation

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