论文标题
具有正弯曲操作员和严格凸边界的歧管
Manifolds with positive curvature operator and strictly convex bounday
论文作者
论文摘要
在[AMW]中，证明，如果紧凑的$ 3 $ manifold具有正质曲率和严格凸边界，那么此流形对于标准的$ 3 $二维欧几里得磁盘是差异的。在本文中，我们证明了其更高的概括：如果紧凑型$ n $ - manifold具有正弯曲操作员和严格的凸边界，则该歧管对标准的$ n $二维欧几里得磁盘是不同的。
In [AMW], it is proved that if a compact $3$-manifold has positive Ricci curvature and strictly convex boundary, then this manifold is diffeomorphic to the standard $3$-dimensional Euclidean disk. In this paper, we prove its higher-dimensional generalization: if a compact $n$-manifold has positive curvature operator and strictly convex boundary, then this manifold is diffeomorphic to the standard $n$-dimensional Euclidean disk.
