A remark on the Laplacian flow and the modified Laplacian co-flow in G2-Geometry

Abstract

We observe that the DeTurck Laplacian flow of G2-structures introduced by Bryant and Xu as a gauge fixing of the Laplacian flow can be regarded as a flow of G2-structures (not necessarily closed) which fits in the general framework introduced by Hamilton in [4].

3 pages, comments are welcome

References in corpus (2)

• Short-time behaviour of a modified Laplacian coflow of G2-structures
• Laplacian Flow for Closed $G_2$-Structures: Short Time Behavior