2022/02/09 by Kennon, Aaron
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2202.04240
An important open question in G2 geometry concerns whether or not a compact seven-manifold can support an exact G2-Structure. Given the significance of this question we initiate a study of exact G2-Structures on compact manifolds. We focus on exact G2-Structures subject to no additional constraints but we also consider the relationship between the exact condition and other conditions for closed G2-Structures such as the Extremally Ricci-Pinched and Laplacian Soliton conditions.