标题： 几乎复结构的障碍遵循马塞 显示英文标题

标题： Obstructions to almost complex structures following Massey

摘要： 我们提供了Massey在1961年提出的两个定理的证明，这些定理涉及在实向量丛上找到复结构的障碍。 此外，我们确定了六维定向实向量丛上复结构的第二个障碍。 这些障碍是整数Stiefel-Whitney类的分数部分，以及适当的Pontryagin、Chern和欧拉类的四分之一组合。 显示英文摘要

摘要： We provide proofs of two theorems stated by Massey in 1961, concerning the obstructions to finding complex structures on real vector bundles. In addition, we determine the second obstruction to a complex structure on a rank six orientable real vector bundle. The obstructions are fractional parts of integral Stiefel-Whitney classes, and a fourth of an appropriate combination of Pontryagin, Chern, and Euler classes.