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

Isleifsson, Hjalti

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.

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