×

zbMATH — the first resource for mathematics

Uniqueness of the complex structure on Kähler manifolds of certain homotopy types. (English) Zbl 0711.53052
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 \(n=3,4,5,6\).
Reviewer: G.Roos

MSC:
53C55 Global differential geometry of Hermitian and Kählerian manifolds
57R20 Characteristic classes and numbers in differential topology
57R55 Differentiable structures in differential topology
PDF BibTeX XML Cite
Full Text: DOI