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arXiv · 2203.09166

Linear isoperimetric inequality for homogeneous Hadamard manifolds

Hjalti Isleifsson
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Abstract

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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Hjalti Isleifsson. 2022-03-17. Linear isoperimetric inequality for homogeneous Hadamard manifolds. https://arxiv.org/abs/2203.09166

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