Linear isoperimetric inequality for homogeneous Hadamard manifolds
Differential Geometry
2022-04-07 v2
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.
Keywords
Cite
@article{arxiv.2203.09166,
title = {Linear isoperimetric inequality for homogeneous Hadamard manifolds},
author = {Hjalti Isleifsson},
journal= {arXiv preprint arXiv:2203.09166},
year = {2022}
}
Comments
8 pages. Corrected mistakes, added remarks and simplified the treatment of the growth of Jacobi fields