F4和E6型球形建筑物的中心猜想
The Center Conjecture for spherical buildings of types F4 and E6
摘要：
我们证明了F4或E6型球面建筑物的凸子复形是一个子建筑物或子复形的自同构在其上固定一个点.我们的方法是微分几何的，并基于曲率上有界的度量空间理论.我们也使用这些技术，给同样的结果的另一个证明的球形建筑的经典类型。
英文摘要：
We prove that a convex subcomplex of a spherical building of type F4 or E6 is a subbuilding or the automorphisms of the subcomplex fix a point on it. Our approach is differential-geometric and based on the theory of metric spaces with curvature bounded above. We use these techniques also to give another proof of the same result for the spherical buildings of classical type.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
