%0 Journal Article
%T Big vector bundles and compact complex manifolds with semi-positive tangent bundles
%A Xiaokui Yang
%J Mathematics
%D 2014
%I arXiv
%X We classify compact K\"ahler manifolds with semi-positive holomorphic bisectional and big tangent bundles. We also classify compact complex surfaces with semi-positive tangent bundles and compact complex $3$-folds of the form $P(T^*X)$ whose tangent bundles are nef. Moreover, we show that if $X$ is a Fano manifold such that $P(T^*X)$ has nef tangent bundle, then $X\cong P^n$.
%U http://arxiv.org/abs/1412.5156v2