Differential geometry of complex and almost complex manifolds

小林双曲也被定义为几乎复杂流形。虽然几乎复杂流形的局部完全双曲性的解析证明是已知的，但我们得到了一个新的微分几何证明。Kaehler流形的矩映射很重要，因为它涉及到稳定性问题。将其推广到近似卡勒流形的类似情形。我们发现它在某种意义上变得更简单对于几乎卡勒流形，因为不需要可积性条件。

The Kobayashi hyperbolicity is also defined for almost complex manifolds. Though analytical proofs of locally complete hyperbolicity for almost complex manifolds were known, we obtained a new differential geometric one. The moment map of Kaehler manifolds are important since it is involved with the problem of stability. It is extended to the analogous one for almost Kaehler manifolds. We found that it becomes simpler in a sense for the almost Kaehler manifolds, since one does not need the integrability conditions.