Special types of locally conformal closed G$_2$-structures

25 Oct 2018 Bazzoni Giovanni Raffero Alberto

Motivated by analogous results in locally conformal symplectic geometry, we study different classes of G$_2$-structures defined by a locally conformal closed 3-form. In particular, we give a complete characterization of invariant exact locally conformal closed G$_2$-structures on simply connected Lie groups, and we present examples of compact manifolds with different types of locally conformal closed G$_2$-structures...

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  • DIFFERENTIAL GEOMETRY