On the Relation Between $G_2^*$ Structures and Almost Paracontact Structures

TL;DR

This paper explores the connection between $G_2^*$ structures and almost paracontact structures in 7 dimensions, analyzing how $G_2^*$ properties influence the classification of these structures.

Contribution

It provides a detailed analysis of how $G_2^*$ structures induce almost paracontact metric structures and determines their classification based on projections.

Findings

Identification of the class of almost paracontact structures induced by $G_2^*$ forms

Explicit calculations of projections related to these structures

Clarification of the relationship between $G_2^*$ properties and paracontact classification

Abstract

We investigate 7 dimensional almost para-contact metric structures induced by the 3-forms of $G_2^*$ Structures. We calculate the projections that determine to which class the almost para-contact structure belongs, by using the properties of $G_2^*$ Structures.