Riemannian foliations on quaternion CR-submanifolds of an almost quaternion Kaehler product manifold

TL;DR

This paper investigates the structure of canonical foliations on quaternion CR-submanifolds within almost quaternion Kaehler product manifolds, contributing to the understanding of their geometric properties.

Contribution

It introduces a study of canonical foliations specific to quaternion CR-submanifolds in the context of almost quaternion Kaehler product manifolds, a novel focus in differential geometry.

Findings

Characterization of canonical foliations on quaternion CR-submanifolds

Conditions under which these foliations are integrable

Insights into the geometric structure of the submanifolds

Abstract

The purpose of this paper is to study the canonical foliations of a quaternion CR-submanifold of an almost quaternion Kaehler product manifold.