Special Types of Locally Conformal Closed G2-Structures

Abstract

Motivated by known results in locally conformal symplectic geometry, we study different classes of G2-structures defined by a locally conformal closed 3-form. In particular, we provide a complete characterization of invariant exact locally conformal closed G2-structures on simply connected Lie groups, and we present examples of compact manifolds with different types of locally conformal closed G2-structures.