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arXiv · 1810.10991

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

Giovanni Bazzoni·Alberto Raffero
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Abstract

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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Giovanni Bazzoni, Alberto Raffero. 2018-10-25. Special types of locally conformal closed G$_2$-structures. https://doi.org/10.3390/axioms7040090

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