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arxiv: 1703.08526 · v3 · pith:MCGLTBB5new · submitted 2017-03-24 · 🧮 math.DG

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

classification 🧮 math.DG
keywords 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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