近 Kähler 六维流形上的多矩映射
微分几何
2020-09-22 v2
摘要
我们研究了由二维环面作用诱导于四个齐性近 Kähler 六维流形上的多矩映射。导出了其显式表达与平稳轨道。针对配备容许二维环面对称性的 -结构的通用六维流形，给出了不动点与一维轨道的构型。将所得子空间投影到轨道空间得到了一个三叉图。我们在齐性近 Kähler 例子上具体阐释了这一结果。
引用
@article{arxiv.1911.12420,
title = {Multi-moment maps on nearly K\"ahler six-manifolds},
author = {Giovanni Russo},
journal= {arXiv preprint arXiv:1911.12420},
year = {2020}
}
备注
23 pages, 4 figures. Propositions 3.2, 4.2, 5.2 and Examples 6.2-6.3 added. General exposition improved and some minor mistakes fixed. This is a pre-print of an article published in Geometriae Dedicata. The final version is available at https://doi.org/10.1007/s10711-020-00568-w