Let X be a smooth complex projective variety with nef ${\bigwedge }^2{T}_X$ and $\dim X\ge 3$. We prove that, up to a finite étale cover $\tilde{X}\to X$, the Albanese map $\tilde{X}\to \mathrm{Alb}(\tilde{X})$ is a locally trivial fibration whose fibers are isomorphic to a smooth Fano variety F with nef ${\bigwedge }^2{T}_F$. As a bi-product, we see that $T_X$ is nef or X is a Fano variety. Moreover we study a contraction of a $K_X$-negative extremal ray $\phi :X\to Y$. In particular, we prove that X is isomorphic to the blow-up of a projective space at a point if φ is of birational type. We also prove that φ is a smooth morphism if φ is of fiber type. As a consequence, we give a structure theorem of varieties with nef ${\bigwedge }^2{T}_X$.

令X为带有nef的光滑复数射影变型${\bigwedge }^{\mathrm{2个}}{Ť}_X$ 和 $\mathrm{暗淡}X\ge 3$。我们证明，直到有限的étale封面$\stackrel{〜}{X}\to X$，阿尔巴尼地图 $\stackrel{〜}{X}\to \mathrm{阿尔布}（\stackrel{〜}{X}）$是一种局部琐碎的纤维化，其纤维与带有nef的光滑Fano品种F同构${\bigwedge }^{\mathrm{2个}}{Ť}_F$。作为副产品，我们看到${Ť}_X$是nef或X是Fano品种。此外，我们研究了a的收缩${ķ}_X$负极射线 $\phi ：X\to ÿ$。特别地，我们证明了，如果φ是双边型的，则X在某一点上与射影空间的爆炸同构。我们也证明了φ是光滑态射，如果φ是纤维类型。结果，我们给出了带有nef的变体的结构定理${\bigwedge }^{\mathrm{2个}}{Ť}_X$。