The moduli space of two-convex embedded spheres
The moduli space of two-convex embedded spheres
复制标题
DOI：
10.4310/jdg/1622743139
复制
发表时间：
2016-07
影响因子：
2.5
通讯作者：
R. Buzano;Robert Haslhofer;Or Hershkovits
中科院分区：
文献类型：
--
作者：
R. Buzano;Robert Haslhofer;Or Hershkovits
我们证明了R^{n+1}中2-凸嵌入n-球体的模空间对每个n都是路连通的，我们的证明使用了平均曲率流和运算，并且可以看作是Marque关于三维流形上正标量曲率度量的模空间的路连通性的有影响力的证明的外在类似.
We prove that the moduli space of 2-convex embedded n-spheres in R^{n+1} is path-connected for every n. Our proof uses mean curvature flow with surgery and can be seen as an extrinsic analog to Marques' influential proof of the path-connectedness of the moduli space of positive scalar curvature metics on three-manifolds.