We give a shorter proof of the well-posedness of the Laplacian flow in G 2-geometry. This is based on the observation that the DeTurck–Laplacian flow of G 2-structures introduced by Bryant and Xu as a gauge fixing of the Laplacian flow can be regarded as a flow of (not necessarily closed) G 2-structures, which fits in the general framework introduced by Hamilton in J Differ Geom 17(2):255–306, 1982. A similar application is given for the modified Laplacian co-flow.
A remark on the Laplacian flow and the modified Laplacian co-flow in G 2 -geometry
Bedulli L.;
2020-01-01
Abstract
We give a shorter proof of the well-posedness of the Laplacian flow in G 2-geometry. This is based on the observation that the DeTurck–Laplacian flow of G 2-structures introduced by Bryant and Xu as a gauge fixing of the Laplacian flow can be regarded as a flow of (not necessarily closed) G 2-structures, which fits in the general framework introduced by Hamilton in J Differ Geom 17(2):255–306, 1982. A similar application is given for the modified Laplacian co-flow.File in questo prodotto:
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