Recent results on closed G₂-structures

2020/06/24 by Fino, Anna, Raffero, Alberto
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.13931

Abstract

We review recent results concerning closed G₂-structures on seven-dimensional manifolds. In particular, we discuss the construction of examples and some related problems.

Related

• Manifolds admitting a G₂-structure
• Remarks on Exact G₂-Structures on Compact Manifolds
• Generalized G₂-manifolds and SU(3)-structures
• Remarks on some integral formulas for G₂-structures
• Remarks on G₂-manifolds with boundary