Subclasses of the Conformal Almost Contact Metric Manifolds

TL;DR

This paper classifies conformal almost contact metric manifolds based on the covariant derivative of the Lee form, identifying subclasses and their characterizations through contact conformal group subgroups.

Contribution

It provides a new classification scheme for these manifolds and characterizes subclasses via maximal subgroups of the contact conformal group.

Findings

Classification scheme of conformal almost contact metric manifolds.

Identification of subclasses of the basic class.

Characterization of subclasses by contact conformal group subgroups.

Abstract

A classification scheme of the conformal almost contact metric manifolds with respect to the covariant derivative of the Lee form is given. The subclasses of one basic class and their exact characterizations by the maximal subgroups of the contact conformal group preserving itself are found.