Studies of compact homogeneous complex manifolds via of non-Kahler structures

利用非kahler结构研究紧齐次流形。我构造了允许伪kahler结构的紧复溶剂流形的新例子，并证明了上述流形的Ricci曲率为零。我还知道紧化伪kahler流形上的Killing向量场是复结构的无穷小自同构。我也得到了关于伪kahler度量在旗子流形上的签名的结果。

I studies compact homogenous manifolds by using non-Kahler structures. I have constructed new examples of compact complex solvmanifolds which admit pseudo-Kahler structures, and I have shown that the Ricci curvatures of the above manifolds are zero. I also had that a Killing vector field on a compact pseudo-Kahler manifold is an infinitesimal automorphism of the complex structure. I also got results about signatures of pseudo-Kahler metrics on flag manifolds.