AI 中文总结
本文证明了完备流形上闭的渐近锥形$G_2$-结构的$G_2$-拉普拉斯流的短时间存在性与闭解中的唯一性，给出了依赖初始几何的存在时间下界。
AI 中文摘要
本文证明了完备流形上闭的渐近锥形$G_2$-结构的$G_2$-拉普拉斯流的短时间存在性，表明该解在闭解中具有唯一性，并给出了依赖于初始几何的存在时间下界。
英文摘要
This paper proves the short-time existence of $G_2$-Laplacian flow for closed, asymptotically conical $G_2$-structures on a complete manifold, shows that this solution is unique among closed solutions, and gives a lower bound for the existence time depending on the initial geometry.
Comments91 pages
