Bn-generalized geometry and G2(2)-structures

TL;DR

This paper explores G2(2)-structures on 3-manifolds within generalized geometry, analyzing their local deformations and describing the structure cone, advancing understanding of these geometric configurations.

Contribution

It introduces G2(2)-structures in the context of generalized geometry of type Bn and studies their local deformation properties.

Findings

Description of the cone of G2(2)-structures

Local deformation analysis using Moser-type argument

Introduction of G2(2)-structures in generalized geometry

Abstract

We introduce the concept of G2(2)-structure on an orientable 3-manifold M using the setting of generalized geometry of type Bn, study their local deformation by making use of a Moser-type argument, and give a description of the cone of G2(2)-structures.