非幂零可解三维李群上几乎黎曼结构的等距映射
微分几何
2023-09-06 v1
摘要
本文证明：在非幂零、可解、连通三维李群类上，秩为二的几乎黎曼结构之间的等距映射仅有自同构。由此，获得了此类群上秩二几乎黎曼结构（ARS）的一个分类结果。
引用
@article{arxiv.2309.01896,
title = {Isometries of Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups},
author = {Victor Ayala and Adriano Da Silva and Danilo A. Garcia Hernández},
journal= {arXiv preprint arXiv:2309.01896},
year = {2023}
}
备注
arXiv admin note: substantial text overlap with arXiv:2201.06414