Locally conformally cocalibrated G2-structures

TL;DR

This paper investigates locally conformally cocalibrated G2-structures on seven-dimensional Lie algebras, focusing on cases with non-zero Lee forms and providing explicit solutions and classifications.

Contribution

It classifies and constructs solutions for G2-structures with non-zero Lee forms on seven-dimensional Lie algebras, expanding understanding of their geometric properties.

Findings

Explicit solutions for non-zero Lee form cases.

Classification of G2-structures satisfying conformal conditions.

Main results detailed in propositions and theorems.

Abstract

We study the condition in which G2-structures are introduced by a non closed four-form, although they are satisfying locally conformal conditions.All solutions are found in the case when the Lee form of G2-structures is non-zero and gintroduces seven-dimensional Lie algebras, The main results are given in preposition1 and theorem1.