Quaternion CR-submanifolds of a Locally Conformal Quaternion Kaehler Manifold

TL;DR

This paper investigates the differential geometric properties of quaternion CR-submanifolds within locally conformal quaternion Kaehler manifolds, expanding understanding of their structure and characteristics.

Contribution

It introduces new insights into the geometry of quaternion CR-submanifolds in locally conformal quaternion Kaehler manifolds, a topic with limited prior exploration.

Findings

Characterization of quaternion CR-submanifolds

Conditions for integrability and minimality

Relations between submanifold geometry and ambient manifold properties

Abstract

The purpose of the present paper is to study the differential geometric properties of a quaternion CR-submanifold in a locally conformal quaternion Kaehler manifold.