紧 Sasakian 流形的单值化
微分几何
2023-10-03 v3
摘要
我们给出了紧 Sasakian 流形形变为局部同构于 Hermitian 对称空间上反典范丛的圆丛的 Sasakian 流形的一个判据，作为与 Hodge 结构变分和 Higgs 丛相关的 Simpson 单值化结果的 Sasakian 类比。
引用
@article{arxiv.2211.16713,
title = {Uniformizations of compact Sasakian manifolds},
author = {Hisashi Kasuya and Natsuo Miyatake},
journal= {arXiv preprint arXiv:2211.16713},
year = {2023}
}
备注
v2: Section 3.2 and proof of Theorem 4.1 are corrected. v3: Final version. To appear in IMRN. 10 pages. Comments are welcome