方便流形上向量场的 Lie 代数
微分几何
2026-04-21 v2
摘要
我们讨论了关于方便流形上向量场的各种旧定义和新定义，这些定义可被证明会产生 Lie 代数，并且在有限维情况下等价于标准向量场的定义。
引用
@article{arxiv.2511.05690,
title = {Lie Algebras of vector fields on convenient manifolds},
author = {Arnold Neumaier and Phillip Josef Bachler},
journal= {arXiv preprint arXiv:2511.05690},
year = {2026}
}
备注
Withdrawn by the authors as the current version is an incomplete exposition and requires further development