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.

Special Types of Locally Conformal Closed G2-Structures

Raffero, Alberto
2018-01-01

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.
2018
7
4
90
103
https://www.mdpi.com/2075-1680/7/4/90
locally conformal closed G2-structure, coupled SU(3)-structure
Bazzoni, Giovanni; Raffero, Alberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1684878
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