Kenmotsu Manifolds Admitting a Non-Symmetric Non-Metric Connection

TL;DR

This paper investigates Kenmotsu manifolds with a non-symmetric non-metric connection, revealing their irregularity and exploring associated curvature properties to deepen understanding of their geometric structure.

Contribution

It introduces the study of Kenmotsu manifolds with non-symmetric non-metric connections and establishes their irregularity, along with curvature properties.

Findings

Kenmotsu manifolds with such connections are irregular

Curvature properties of these manifolds are characterized

New insights into non-metric connection effects on Kenmotsu manifolds

Abstract

The aim of the present paper is to study the properties of Kenmotsu manifolds equipped with a non-symmetric non-metric connection. We also establish some curvature properties of Kenmotsu manifolds. It is proved that a Kenmotsu manifold endowed with a non-symmetric non-metric is irregular.