对偶于Fenchel-Nielsen坐标的全纯二次微分
微分几何
2018-12-18 v2
摘要
我们讨论了全纯二次微分空间的基，这些基对偶于Fenchel-Nielsen坐标的微分，因而在考虑双曲度量集合上在微分同胚拉回下不变的函数（如拉普拉斯算子的特征值）时自然出现。本文所推导的精确估计构成了arXiv:1701.08491中获得的退化曲面上尖锐特征值估计证明的基础。
引用
@article{arxiv.1806.04384,
title = {Holomorphic quadratic differentials dual to Fenchel-Nielsen coordinates},
author = {Nadine Große and Melanie Rupflin},
journal= {arXiv preprint arXiv:1806.04384},
year = {2018}
}
备注
Consists mostly of Section 4 of the previous version of the preprint arXiv:1701.08491 which was split up for easier publication