齐性 Hadamard 流形的线性等周不等式
微分几何
2022-04-07 v2
摘要
众所周知，截面曲率非正的单连通对称空间对维数大于或等于该空间秩的闭链容许线性等周填充不等式。在本注记中，我们将该结果推广到齐性 Hadamard 流形。
引用
@article{arxiv.2203.09166,
title = {Linear isoperimetric inequality for homogeneous Hadamard manifolds},
author = {Hjalti Isleifsson},
journal= {arXiv preprint arXiv:2203.09166},
year = {2022}
}
备注
8 pages. Corrected mistakes, added remarks and simplified the treatment of the growth of Jacobi fields