论文标题
CAT（0）较高等级II的空间
CAT(0) spaces of higher rank II
论文作者
论文摘要
这属于鲍尔曼（Ballmann）高级僵化猜想的一系列论文。我们证明了以下内容。令$ x $为具有几何组动作的猫（0）空间。假设$ x $中的每个大地测量都在$ n $ flat中，$ n \ geq 2 $。如果$ x $包含一个定期的$ n $ -flat，它不绑定平面$（n+1）$ - 半空间，则$ x $是Riemannian对称空间，欧几里得建筑物或非琐碎的分裂作为公制产品。这概括了具有几何群体作用的Hadamard歧管的较高等级刚度定理。
This belongs to a series of papers motivated by Ballmann's Higher Rank Rigidity Conjecture. We prove the following. Let $X$ be a CAT(0) space with a geometric group action. Suppose that every geodesic in $X$ lies in an $n$-flat, $n\geq 2$. If $X$ contains a periodic $n$-flat which does not bound a flat $(n+1)$-half-space, then $X$ is a Riemannian symmetric space, a Euclidean building or non-trivially splits as a metric product. This generalizes the Higher Rank Rigidity Theorem for Hadamard manifolds with geometric group actions.
