论文标题
长期存在Yamabe恒定的单数空间上的Yamabe流动
Long-time existence of Yamabe flow on singular spaces with positive Yamabe constant
论文作者
论文摘要
在这项工作中，我们在一系列歧管上建立了正常化的山比流量的长期存在，其中包括一类歧管，其中包括具有不完整的锥形奇点的空间。我们可以公理地制定结果，以便我们的结果也扩展到一般的分层空间，提供了某些抛物线Schauder估计值。中央分析工具是一种抛物线摩泽，它在溶液和标量曲率上产生均匀的上限和下限。
In this work we establish long-time existence of the normalized Yamabe flow with positive Yamabe constant on a class of manifolds that includes spaces with incomplete cone-edge singularities. We formulate our results axiomatically, so that our results extend to general stratified spaces as well, provided certain parabolic Schauder estimates hold. The central analytic tool is a parabolic Moser iteration, which yields uniform upper and lower bounds on both the solution and the scalar curvature.
