Let $M$ and $N$ be compact complex manifolds of complex dimension $n$, equipped with their complex orientations. Let $f:M\to N$ be an orientation-preserving diffeomorphism. Suppose that there exists a complex vector bundle isomorphism
over $M$, where $TM$ and $TN$ denote the complex tangent bundles of $M$ and $N$. Then, for every finite sequence of non-negative integers $(a_1,\dots,a_n)$ satisfying