On semi-symmetric non-metric connexion

TL;DR

This paper introduces a new type of semi-symmetric non-metric connection on almost contact metric manifolds, exploring its properties and the behavior of covariant almost analytic vector fields under this connection.

Contribution

It defines a novel semi-symmetric non-metric connection specific to almost contact metric manifolds and investigates its fundamental properties and implications.

Findings

New semi-symmetric non-metric connection defined for almost contact metric manifolds

Properties of the connection analyzed and characterized

Behavior of covariant almost analytic vector fields studied with this connection

Abstract

H. A. Hayden [1] introduced the idea of semi-symmetric non-metric connection on a Riemannian manifold in (1932). Agashe and Chafle \cite{1} defined and studied semi-symmetric non-metric connection on a Riemannian manifold. In the present paper, we define a new type of semi-symmetric non-metric connexion in an almost contact metric manifold and studied its properties. In the end, we have studied some properties of the covariant almost analytic vector field equipped with semi-symmetric non-metric connection.