Almost Hermitian Geometry on Six Dimensional Nilmanifolds
微分几何
2007-05-23 v1
摘要
The fundamental 2-form of an invariant almost Hermitian structure on a 6-dimensional Lie group is described in terms of an action by SO(4)xU(1) on complex projective 3-space. This leads to a combinatorial description of the classes of almost Hermitian structures on the Iwasawa and other nilmanifolds.
引用
@article{arxiv.math/0007066,
title = {Almost Hermitian Geometry on Six Dimensional Nilmanifolds},
author = {E. Abbena and S. Garbiero and S. Salamon},
journal= {arXiv preprint arXiv:math/0007066},
year = {2007}
}
备注
22 pages, 2 figures