Uniqueness of the complex structure on Kähler manifolds of certain homotopy types
type: Item
instance of: scholarly article
title: Uniqueness of the complex structure on Kähler manifolds of certain homotopy types
zbMATH Open document ID: 0711.53052
author: John W. Wood
author: Anatoly Libgober
published in: Journal of Differential Geometry
publication date: 1990-01-01T00:00:00Z
review text: 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 \(n=3,4,5,6\).
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 57R55
zbMATH DE Number: 4169615
zbMATH Keywords: complex projective spaces
zbMATH Keywords: homotopy type
zbMATH Keywords: Kähler manifold
reviewed by: Guy Roos
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214445041
OpenAlex ID: W1550026352
Wikidata QID: Q115182131
DOI: 10.4310/JDG/1214445041
description: scientific article; zbMATH DE number 4169615