李群胚与奇异黎曼叶状结构的半局部模型
微分几何
2021-03-08 v2
摘要
我们描述了任意奇异黎曼叶状结构在正则层的一个闭饱和子流形邻域内的局部模型。此外,我们构造了一个李群胚,它控制这些子流形附近奇异黎曼叶状结构的线性逼近的横截几何。我们还讨论了该李群胚及其李代数胚的闭包。
引用
@article{arxiv.1812.03614,
title = {Lie groupoids and semi-local models of Singular Riemannian foliations},
author = {Marcos M. Alexandrino and Marcelo K. Inagaki and Mateus de Melo and Ivan Struchiner},
journal= {arXiv preprint arXiv:1812.03614},
year = {2021}
}
备注
We have completely rewritten the introduction,and added new results such asTheorem 1.6 , (about closure of Lie subgroupoids) , Propositions 6.5 and 6.7.(about the Lie algebroid structure of the Lie groupoid that describe the dynamical behavior of Singular Riemannian foliations)