三维带边流形上广义 Thurston 球填充的刚性
几何拓扑
2023-09-07 v1
摘要
受 Guo-Luo 关于带边曲面上的广义圆填充 \cite{GL2} 的启发，我们引入三维带边流形上的广义 Thurston 球填充。随后我们研究广义 Thurston 球填充的刚性。我们证明广义 Thurston 球填充由组合标量曲率局部确定。我们进一步证明无穷小刚性：在保持组合 Ricci 曲率不变时，广义 Thurston 球填充无法发生形变。
引用
@article{arxiv.2309.02457,
title = {Rigidity of generalized Thurston's sphere packings on 3-dimensional manifolds with boundary},
author = {Xu Xu and Chao Zheng},
journal= {arXiv preprint arXiv:2309.02457},
year = {2023}
}
备注
arXiv admin note: text overlap with arXiv:2309.01205