Shi-type estimates and finite time singularities of flows of G$_2$ structures

Published 24 Mar 2017 in math.DG | (1703.08526v3)

Abstract: In this paper, we extend Lotay-Wei's Shi-type estimate from Laplacian flow to more general flows of G$_2$ structures including the modified Laplacian co-flow. Then we prove a version of $\kappa$-non-collapsing theorem. We will use both of them to study finite time singularities of general flows of G$_2$ structures.

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Gao Chen

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