Shi-type estimates and finite time singularities of flows of G2 structures
Shi-type estimates and finite time singularities of flows of G2 structures
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DOI：
10.1093/qmath/hax060
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发表时间：
2017-03
影响因子：
0.7
通讯作者：
Gao Chen
中科院分区：
文献类型：
--
作者：
Gao Chen
本文将Lotay-Wei的Shi型估计从Laplacian流推广到更一般的具有G$_2$结构的流，包括修正的Laplacian协流。然后我们证明了一个版本的$\kappa$-非崩溃定理。我们将利用这两种方法来研究一般G$_2$结构流的有限时间奇异性。
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.