6 维幂零流形的非 K"ahler 性次数
微分几何
2015-08-11 v3
摘要
我们利用 Bott-Chern 上同调来度量配备 M. Ceballos, A. Otal, L. Ugarte 和 R. Villacampa 分类中不变复结构的 6 维幂零流形的非 K"ahler 性,[Invariant Complex Structures on 6-Nilmanifolds: Classification, Fr"olicher Spectral Sequence and Special Hermitian Metrics, J. Geom. Anal. (2014)]。我们研究了与该分类相关的 pluriclosed 度量的存在性。
引用
@article{arxiv.1210.0406,
title = {Degree of non-K\"ahlerianity for 6-dimensional nilmanifolds},
author = {Daniele Angella and Maria Giovanna Franzini and Federico Alberto Rossi},
journal= {arXiv preprint arXiv:1210.0406},
year = {2015}
}