特殊和乐流形上的Frölicher-Nijenhuis括号
微分几何
2019-02-23 v1
摘要
在本文中,我们总结了近期利用Frölicher-Nijenhuis括号研究特殊和乐流形的结果。该括号使我们能够定义Frölicher-Nijenhuis上同调,它们是Kähler几何中与Dolbeault上同调的类似物,并为每个结合子流形赋予一个-代数。我们给出了Frölicher-Nijenhuis上同调的几个具体计算。
引用
@article{arxiv.1810.12714,
title = {Fr\"olicher-Nijenhuis bracket on manifolds with special holonomy},
author = {Kotaro Kawai and Hông Vân Lê and Lorenz Schwachhöfer},
journal= {arXiv preprint arXiv:1810.12714},
year = {2019}
}
备注
14 pages, To appear in a forthcoming volume of the Fields Institute Communications, entitled "Lectures and Surveys on G2 manifolds and related topics". arXiv admin note: text overlap with arXiv:1703.05133