论文标题
几乎复杂的结构，横向复杂的结构和横向多尔贝尔共同学
Almost complex structures, transverse complex structures, and transverse Dolbeault cohomology
论文作者
论文摘要
我们定义了与光滑的歧管$ m $上的任何几乎复杂结构$ j $相关的横向dolbeault共同体。我们通过扩展横向复合结构的概念并引入具有这种横向复合物结构的自然J稳定涉及极限分布来做到这一点。我们将这种横向Dolbeault的共同体与Cirici和Wilson引入的（M，J）的广义（M，J）共同研究，表明（P，0）的共同体学空间一致。这项横向性研究使我们提出了一个最小不可集成的几乎复杂结构的概念。
We define a transverse Dolbeault cohomology associated to any almost complex structure $j$ on a smooth manifold $M$. This we do by extending the notion of transverse complex structure and by introducing a natural j-stable involutive limit distribution with such a transverse complex structure. We relate this transverse Dolbeault cohomology to the generalized Dolbeault cohomology of (M,j) introduced by Cirici and Wilson, showing that the (p,0) cohomology spaces coincide. This study of transversality leads us to suggest a notion of minimally non-integrable almost complex structure.
