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arXiv · 1703.08526

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

Gao Chen
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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. 2017-03-24. Shi-type estimates and finite time singularities of flows of G$_2$ structures. https://doi.org/10.1093/qmath/hax060

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