Small deformations and non-left-invariant complex structures on a compact solvmanifold
复变函数
2016-01-15 v3
摘要
We observed in our previous paper that all the complex structures on four-dimensional compact solvmanifolds, including tori, are left-invariant. In this paper we will give an example of a six-dimensional compact solvmanifold which admits a continuous family of non-left-invariant complex structures. Furthermore, we will make a complete classification of three-dimensional compact homogeneous complex solvmanifolds; and determine which of them admit pseudo-Kaehler structures.
引用
@article{arxiv.math/0703756,
title = {Small deformations and non-left-invariant complex structures on a compact solvmanifold},
author = {Keizo Hasegawa},
journal= {arXiv preprint arXiv:math/0703756},
year = {2016}
}
备注
11 pages; revised version with a more detailed proof for the main theorem