G2-structures的修正Laplacian协流的短时行为
Short-time behaviour of a modified Laplacian coflow of G2-structures
摘要：
我们修正了共闭G2-结构- $\frac{d}{dt}ψ=Δψ$的Laplacian协流，其中$ψ$是$φ$-结构$G_{2}$的闭对偶4-形式.修改后的流现在是抛物线的封闭形式的方向上，直到双同态。然后我们证明了修改后的流的解的短时存在性和唯一性。
英文摘要：
We modify the Laplacian coflow of co-closed G2-structures - $\frac{d}{dt}ψ=Δψ$ where $ψ$ is the closed dual 4-form of a $G_{2}$-structure $φ$. The modified flow is now parabolic in the direction of closed forms upto diffeomorphisms. We then prove short time existence and uniqueness of solutions to the modified flow.
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