# 殆复流形上可以定义全纯向量丛么

Problem . 我们知道, 在复流形$M$上, 可以证明$T^{1,0}M$是$M$上的一个全纯向量丛.

Note, that $X$ is in general only a differentiable manifold and thus there is
no concept of holomorphy: The holomorphic tangent bundle $T^{1,0} X$ can not be
a holomorphic vector bundle on a differentiable manifold. If $X$ is complex,
however, one has that $T^{1,0} X = TX$ is indeed the holomorphic tangent bundle
of $X$.

1. http://www.mathematik.hu-berlin.de/~berg/Almost_Complex_Manifolds_Seminar_2011_03_07.pdf
2. http://en.wikipedia.org/wiki/Talk:Almost_complex_manifold#Holomorphic.3F
3. Biswas, Indranil, and Avijit Mukherjee. “Nonorientable manifolds, complex structures, and holomorphic vector bundles.” Acta Applicandae Mathematica 69.1 (2001): 25-42.