开 Kähler 流形的复 Riemannian 叶状结构
微分几何
2019-05-07 v3
摘要
我们获得了复 Riemannian 叶状结构的分类结果。对于紧型不可约 Hermitian 对称空间的开子集，由于可以对其曲率张量进行显式控制，我们通过研究与典范联络相关联的无穷小模型，完全分类了此类叶状结构。我们还建立了非紧型对称空间的结果，以及任意不可约 Kähler 流形的一般刚性结果。
引用
@article{arxiv.1512.04390,
title = {Complex Riemannian Foliations of open K\"ahler manifolds},
author = {Thomas Murphy and Paul-Andi Nagy},
journal= {arXiv preprint arXiv:1512.04390},
year = {2019}
}
备注
V3: Added Publication details. Manuscript differs very slightly from published version as a typographical error in line 3 of Table 1 (of V2) is corrected. This means that one of the cases ruled out in Table 2 (of V2) does not need to be considered. Consequently lines 14--16 of page 15 (of V2) were slightly modified to take this into account. The rest of the paper is unaffected