论文标题
提出了用于复杂歧管上延长的几乎复杂结构的升力的定理
Proposed theorems for lifts of the extended almost complex structures on the complex manifold
论文作者
论文摘要
本文旨在研究扩展的复合歧管km上延长的复杂结构的高阶完整和垂直升降机。证明了在扩展的复合歧管km上延伸的几乎复杂结构JK的nijenhuis张量上提出的定理。同样，引入了类型（1,1）的张量场J〜K，并表明它是一个扩展的几乎复杂的结构。最后，研究了有关高阶升力的谎言衍生物，并研究了几乎分析复合物载体的基本结果，涉及KM上几乎复杂的结构。
The present paper aims to study the higher-order complete and vertical lifts of the extended almost complex structures on an extended complex manifold kM. The proposed theorems on the Nijenhuis tensor of an extended almost complex structure Jk on the extended complex manifold kM are proved. Also, a tensor field J~k of type (1,1) is introduced and shows that it is an extended almost complex structure. Finally, the Lie derivative concerning higher-order lifts is studied and basic results on the almost analytic complex vector concerning an extended almost complex structure on kM are investigated.
