Shi-type estimates and finite time singularities of flows of G2 structures

Abstract

In this paper, we extend Lotay-Wei's Shi-type estimate from Laplacian flow to more general flows of G2 structures including the modified Laplacian co-flow. Then we prove a version of -non-collapsing theorem. We will use both of them to study finite time singularities of general flows of G2 structures.

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