论文标题
封闭的自相似解决方案，通过负曲率的负能力流动
Closed self-similar solutions to flows by negative powers of curvature
论文作者
论文摘要
在某些扭曲的产物歧管（包括空间形式）中，我们考虑了对曲率流的封闭自相似解，其速度是平均曲率，高斯曲率和其他具有合适特性的平均曲率，Gauss曲率和其他曲率函数的负功率。我们证明这种自相似的解决方案，不一定是某些情况下严格凸出的，必须是扭曲的产品歧管的切片。新的辅助功能是证明的关键。
In some warped product manifolds including space forms, we consider closed self-similar solutions to curvature flows whose speeds are negative powers of mean curvature, Gauss curvature and other curvature functions with suitable properties. We prove such self-similar solutions, not necessarily strictly convex for some cases, must be slices of warped product manifolds. A new auxiliary function is the key of the proofs.
