Uniqueness of the complex structure on Kähler manifolds of certain homotopy types
The main result of this paper is that for \(n\leq 6\), a Kähler manifold which is homotopy equivalent to the projective space \({\mathbb{C}}{\mathbb{P}}_ n\) is analytically equivalent to \({\mathbb{C}}{\mathbb{P}}_ n\). An ad hoc proof is given for each of the cases \(n=3,4,5,6\).
scientific article; zbMATH DE number 4169615