AI 中文总结
该研究证明了完备负曲率局部对称流形沿闭测地线的二重覆盖基本群是线性的，更推广到半单李群特定子群沿双逼近极大循环子群的二重覆盖也具有线性性。
AI 中文摘要
我们证明了沿闭测地线的完备负曲率局部对称流形的二重覆盖的基本群是线性的。更一般地，我们建立了半单李群的无挠横截子群（文献中也称为正则对径子群）沿双逼近极大循环子群的二重覆盖的线性性。
英文摘要
We show that the fundamental group of the double of a complete negatively curved locally symmetric manifold along a closed geodesic is linear. More generally, we establish linearity of doubles of torsion-free transverse subgroups (also known in the literature as regular antipodal subgroups) of semisimple Lie groups along biproximal maximal cyclic subgroups.
Comments6 pages, comments welcome. Draft submitted to the proceedings of the 40th Summer Conference on Topology and Its Applications, where the first-named author spoke about the related work arXiv:2603.23969
