论文标题
均匀的Hadamard歧管的线性等级不平等
Linear isoperimetric inequality for homogeneous Hadamard manifolds
论文作者
论文摘要
众所周知,简单地连接的非阳性截面曲率的对称空间承认,线性等级填充不等式,对于大于或等于空间等级的循环的循环。在本说明中,我们将该结果扩展到均匀的Hadamard歧管。
It is well known that simply connected symmetric spaces of non-positive sectional curvature admit a linear isoperimetric filling inequality for cycles of dimension greater than or equal to the rank of the space. In this note we extend that result to homogeneous Hadamard manifolds.