Scifaro

中文

闭流形上严格凸实射影结构的空间

几何拓扑 2025-12-02 v3

作者: Daryl Cooper , Stephan Tillmann

在 arXiv 上查看 ↗ PDF ↗

摘要

本文给出一个说明性证明：若 $M$ 是无边界的紧 $n$ -流形，则 $M$ 上严格凸实射影结构的 holonomy 集合是 $\operatorname{Hom}(\pi_1M,\operatorname{PGL}(n+1,\mathbb R))$ 中既开又闭的子集。

关键词

严格凸实射影结构闭流形 holonomy PGL 开且闭子集

引用

@article{arxiv.2009.06582,
  title  = {The Space of Strictly-convex Real-projective structures on a closed manifold},
  author = {Daryl Cooper and Stephan Tillmann},
  journal= {arXiv preprint arXiv:2009.06582},
  year   = {2025}
}

备注

Publication version. Improved exposition and figures