Lie 流形的内射半径
微分几何
2018-03-30 v3
摘要
我们以直接的几何方式证明,对于 Lie 流形上的任意相容黎曼度量,其内射半径均为正的。
引用
@article{arxiv.1707.07595,
title = {The injectivity radius of Lie manifolds},
author = {Paolo Antonini and Guido De Philippis and Nicola Gigli},
journal= {arXiv preprint arXiv:1707.07595},
year = {2018}
}
备注
The paper has been withdrawn by the authors because of a mistake in the application of Klingenberg's lemma