Shi-type estimates and finite time singularities of flows of G₂ structures
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math.DG
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flowsstructuresfinitegenerallaplacianshi-typesingularitiestime
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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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